How do you calculate multiplication of logarithmic functions and what is a multiplication function?

Multiplication of two numbers within 20 Multiply two numbers within 20, add the single digit of one number and the other number and multiply it by 10, and then add the product of the two mantissa numbers, which is the number that should be obtained. For example, 12 13 156, the calculation procedure is to add the mantissa 2 of 12 to 13, 13 plus 2 equals 15, 15 10 150, and then add the product of each mantissa to get 156, which is the product of the request. Multiplication of the first and last digits of the same tail The multiplication of two tens digits is the same, and the end of the ten is complementary, and the calculation method is:

The head is added by 1, and then the head is multiplied by the front product, and the tail is multiplied by the tail is the back product, and the two products are connected, which is the number that should be sought. Such as 26 24 624. The calculation procedure is:

The head of the multiplier 26 plus 1 equals 3, and then the head multiplied by the head, which is 3 2 6, and the tail multiplied by the tail 6 4 24, which is connected to 624. Multiplier double, halved or halved multiplication In the calculation of the first and last complementarity, it can be taken one step further that the multiplier can be doubled, doubled, or halved, but: double, halved or halved can not have a carry or appear a decimal place, such as 48 42 is the prescribed algorithm, however, the multiplier 42 can be doubled by 84, can also be halved by 21, can also be added by half 63, can be calculated according to the prescribed method.

48×21＝1008,48×63＝3024，48×84=4032。Carrying digits cannot be counted. For example, 87 83 7221, 83 is doubled by 166, or halved, which cannot be calculated according to the prescribed method.

The head and tail complement the same multiplication as the head and tail.

Exact values could not be calculated.

lg2*lg（5*10）

lg2*（lg5+1）

lg2+lg2lg5

It can be solved by the calculator ==

a1*b1=c1Multiplication formulas

First of all, open **, enter the "a1*b1" multiplication formula in cell C1.

After entering, you will find that "0" will be displayed in cell C1, of course, because there is no data to be multiplied yet, it will naturally display 0.

Now enter the data that needs to be multiplied in the "A1" and "B1" cells to find the product, as shown in the following figure, enter 10 and 50 in the A1 and B1 cells respectively to multiply, and the result will be displayed in C1, which is equal to "500".

Brief introduction. Multiplication is a shortcut to add up the same numbers.

The result is called the product, and "x" is the multiplier sign. From a philosophical point of view, multiplication is the result of a qualitative change caused by the quantitative change of addition. The multiplication of integers (including negative numbers), rational numbers (fractions), and real numbers is defined by the systematic generalization of this basic definition.

Multiplication can also be thought of as calculating objects arranged in a rectangle (integer) or finding the area of a rectangle whose side length is given. The area of the rectangle does not depend on which side is measured first, which illustrates the swap property. The result of the two measurements is a new type of measurement, for example, multiplying the lengths of both sides of a rectangle to give its area, which is the subject of dimensional analysis.

A multiplicative function is the value of a function obtained by multiplying two or more functions.

Logarithm. Multiplication is rarely performed, and what is currently encountered in high school is only done by dipping. The logarithm of different bases cannot be directly added or subtracted, and must be transformed into the logarithm of the same base first

1、loga(m)+loga(n)=loga(mn)2、loga(m)-loga(n)=loga(m/n)3、loga(m^n)=n×loga(m)4、loga(m)+n=loga(m×a^n)5、loga(m)-n=loga(m÷a^n)Multiplication Principle:If the dependent variable.

f with independent variables.

x1,x2,x3,….There is a direct proportionality between xn.

relationship and each independent variable is qualitatively different, and the absence of any one independent variable to destroy the dependent variable f loses its meaning, then it is multiplication.

in probability theory. In an event, the result needs to be divided into n steps, the first step includes m1 different pants disassembly results, and the second step includes m2 different results ,......The nth step consists of mn different results. Then this event may occur n=m1 m2 m3 ......mn different results.

Refer to the above content: Encyclopedia - Multiplication.

Question 1: How to calculate the logarithmic multiplication of different bases It is generally difficult to simplify it. Of course, some can be calculated by the bottom change formula.

For example, log(2)3 log(3)4=log(2)3 log(2)4 log(2)3=log(2)4=2

log(a)b, where denotes the logarithm with a as the base and b as the true number.

Bottom change formula: log(a)b=log(c)b log(c)a

In this way, what was based on a is transformed into a logarithm based on c.

Question 2: How to calculate the logarithmic multiplication of different bases It is generally difficult to simplify Dahuai. Of course, some can be calculated by the bottom change formula.

For example, log(2)3 log(3)4=log(2)3 log(2)4 log(2)3=log(2)4=2

log(a)b, where denotes the logarithm with a as the base and b as the true number.

Bottom change formula: log(a)b=log(c)b log(c)a

In this way, what was based on a is transformed into a logarithm based on c.

Question 3: How to calculate the multiplication of logarithmic tremors It is generally difficult to simplify again. Of course, some of the eggplant segments can be calculated by the bottom change formula.

For example, log(2)3 log(3)4=log(2)3 log(2)4 log(2)3=log(2)4=2

The formula for changing the bottom is all based on 10.

For example, log4 3 = lg3 lg4

Another example: logab logac=loga(b+c).

1. Use the formula for changing the bottom;

2. Holistic consideration;

3. Convert each logarithm into the form of sum difference.

Description: log2 25 log3 4 log5 9 solution: original = log2 5 log3 2 log5 3 =2log2 5 2log3 2 2log5 3=8 [(lg5) (lg2)] lg2) (lg3)] lg3) (lg5)]=8

Multiplication is seldom performed on logarithms, and what is currently encountered in high school is only done by dipping.

Please see below for the specific operation formula:

That is, it can be used for multiplication of logarithms with different bases.

The logarithm of different bases cannot be directly added or subtracted, and must be converted into the logarithm of the same base first, and the following is the operation rule of the logarithm of the same base and the logarithm and constant:

1)loga(m)+loga(n)=loga(mn)2)loga(m)-loga(n)=loga(m/n)3)loga(m^n)=n×loga(m)4)loga(m)+n=loga(m×a^n)5)loga(m)-n=loga(m÷a^n)

It depends on the topic. For example, it can be split into (lg5+lg2=1) and so on. After remembering logam+logan=logamn logam-logan=loga(m n), continue the operation according to the multiplication rule.

But be careful not to be fooled by appearances at times. I'm also a freshman in high school, and I'm studying.

Summary. The logarithm of different bases cannot be directly added or subtracted, and must be converted into logarithms with the same base first, and the following is the operation rule of logarithms and constants with the same base: 1) loga(m)+loga(n)=loga(mn)2)loga(m)-loga(n)=loga(m n)3)loga(m n)=n loga(m)4)loga(m)+n=loga(m a n)5)loga(m)-n=loga(m a n) It's generally hard to simplify anymore.

For example, log(2)3 log(3)4=log(2)3 log(2)4 log(2)4 log(2)3=log(2)4=2.

The logarithm of different bases cannot be directly added or subtracted, and must be transformed into the logarithm of the same base, and the following is the operation method of the logarithm of the same slip bottom and the logarithm of the sum constant: 1) loga(m)+loga(n)=loga(mn)2)loga(m)-loga(n)=loga(m n)3)loga(m n)=n loga(m)4)loga(m)+n=loga(m a n)5)loga(m)-n=loga(m a n) Generally, it is difficult to simplify the state. For example, log(2)3 log(3)4=log(2)3 log(2)4 log(2)4 log(2)3=log(2)4=2.

For example, log4 3 = lg3 lg4 is used as the base of 10, and logab · logac=loga(b+c).

The logarithmic multiplication formula is logab·logac=loga(b+c). The logarithmic formula is a common formula in mathematics, if a x = n (a>0 and a ≠ 1), then x is called a logarithm with n on a as the base, denoted as x = log(a) (n), where a should be written at the bottom right of log.

where a is called the bottom of the logarithmic difference, and n is called the true number.

A number whose logarithm is a known number is said to be the true number of a known number. True numbers, also known as anti numbers, are numbers relative to the false number (i.e., logarithm) of Keikin. It was first seen in the "Essence of Mathematics" under the volume 38 "Logarithmic Proportion".

Let a be a positive number that is not equal to 1, i.e., a>0, and a ≠ 1. If ap=b, then p is said to be the logarithm of b with base a; And b is called p, and the true number with a as the base is called. Denote as p=logab.

For example, with 2 as the base, the logarithm of 8 is 3 and the true number of 3 is 8.