Solve 3 2x 5 x 92. Ace advances.

Just make a Newtonian iterative formula and calculate it.

Algorithm idea: f(x)=9 x+5 x-92;

f'(x)=(9^x)*(2ln3)+(5^x)ln5;

x1=x0+f(x)/f'(x);

Arbitrarily specify an initial value x0, substitute the above equation to get x1, use x1, substitute x0, and then find x1 until x1-x0 reaches the accuracy you need, then stop the calculation.

When encountering this kind of exponential equation problem, one is the same bottom, which is done with the properties of exponential functions;

There is another type of different bottom, which can be logarithmic on both sides.

The original form can be written as: 9 x + 5 x = 92

Take the logarithm of both sides: xlg9+xlg5=lg92

x(lg9+lg5)=lg92

xlg45=lg92

x=lg92/lg45=log45(92)

Solution: According to the logarithmic properties, the original formula can be written as: 2xlg3+xlg5=lg92x(2lg3+lg5)=lg92; x（lg9+lg5）=lg92 ；

xlg45=lg92 ；Then: x=lg92 lg45 can get the final result by looking up the logarithmic table.

Summary. Solution: According to the problem, it is decomposed as: 6x+15=95-2x6x+2x=95-15

8x =80

x=10Answer: The solution is that x is equal to 10.

3 (2x+5) = 95-2x. Untie.

Solution: According to the problem, it is broken down into only disturbances: 6x+15=95-2x6x+2x=95-15 8x=80 x=10Answer: The solution is equal to 10. Sell digs.

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3x is equal to 6xSubtracting 3/2x equals 3/2 x 5

92-5x) 3 +(92-5x) 3 +x=38 solution: both sides of the equation are multiplied by 3 at the same time

92-5x+92-5x+3x=114

Merge similar items].

184-7x=114

7x=184-114

7x=70 divided by 7 on both sides of the equation

x=10

92-5x ) 3+ (92- 5x) 3+ x = 38 remove parentheses 92 3 - 5x 3 + 92 3 -5x 3 +x=38Shift, merge like.

5x/3 + 5x/3）+x = 38 -（92/3 +92/3 ）

7x 3 = 38 x 3 - 92 x2) 3 calculates 7x=70

The coefficient is one x=10

Or. 92-5x ) 3+ (92- 5x) 3+ x = 38 extract common factor (92-5x) (1 3 +1 3) + x=38 pass 2 (92-5x) 3 + 3x 3=38 shift terms, calculate 2 (92-5x) +3x=38 x 3=114 remove parentheses 184 -10x+3x =114

Combining homogeneous terms -7x=114-184=-70 is a x=10