# How do you solve #3^(2-x)=5^(2x+1)#?

##### 1 Answer

Exponential rules and use of power rule of logarithm can help solve such a problem easily. The step by step working with explanation is given below.

#### Explanation:

Splitting

*Note:*

*Note* :

Solving for x by isolating the term containing x to one side of the equation.

Multiply by

Dividing by 5 on both sides we get.

Taking log on both the sides

Dividing

**answer**

Note: The answer can be represented in many ways and that would be decided by the question. If a numerical value is needed then please use a calculator to find it.