LOGx2 root number 2 3 4,x how to find?

Satisfactory answerFeng Yihua level 12 2011-10-13 Solution: is the value of x 3 to the power of 4 is 2 times the root number 2, so, x=2, x=4 Question: How is this calculated:

That is, the value of x to the power of 3 4 is 2 times the root number 2, and the 2 times the root number 2 is 2 to the 3 2nd power, so, the value of x to the power of 3 4 is equal to the power of 2 to the 3 2nd power, so, x=2, x=4 Follow-up: I still don't understand : Replace them with the same exponential form, the 3 4 power of x should be replaced by the 3 2nd power of x, so, x becomes the root number x, that's all:

x=2,x=4 Follow-up: Answer: Isn't my answer 4?

I am from x=2, find x=4 and ask: how much is x: Alas, x is 4, x is 1 2 to the power of x, and then 3 2 to the power of x is not the 3 to the 4th power of x, and the 1 2 power of x is regarded as a whole, so that the base number on both sides of the equation is the same, so that the 1 2nd power of x is equal to 2, so that the two sides are squared, we know that x is 4

It has already been said in detail. Follow-up: To be honest, I still don't understand.

What you said is a bit complicated: No way, the computer is very troublesome to play those to the power of what, I don't know how to say it, because such a simple question, oral arithmetic is fine. If you really don't understand, just watch the above process a few more times and you will understand.

Solution: The value of x to the power of 3 and 4 is 2 times the root number 2, so, x=2, x=4

x^3/4=27

4 times to talk about the socks under the age of the horn x 3 = 27

x=27^4/3

x=3 3 and 4 3 times to serve the stove.

x=3^4x=81

1) log2x=- 2 3, x=2 (-2 3)=(cubic root number 2) 2

2) logx(3+2 root number 2) = -2, that is, 1 x 2 = 3 + 2 root number 2 = (1 + root number 2) 2

x=1 (1 + root number 2) = root number 2-1

log(2--root-number3)(7+4-root-number3) In the question, (2--root-number3) is the bottom.

log(2--root3)(4+4-root3+3)=log(2--root3)(2+root3) 2=log(2--root3)(2--root3) (2)

According to the logarithmic bottom formula.

logx27 =lg27/lgx=3/4

4lg27=3lgx

lg27^4=lgx^3

x^3=27^4

x=27^(4/3)

x=81