Tom is using logarithms to solve the equation 3^2x = 32. which of the following equations would be equivalent to his original expression?

2x log 3 =log 32
3 log 2x =32
2 log 3 = x log 32
x log 3 =2 log 32

3^(2x)=32  so taking log of both sides

2x*log3=log32

ANSWER



EXPLANATION

The given exponential equation is



Tom is using logarithm to solve this question. Tom is expected to take logarithm of both sides of the exponential equation to a common base.

Let us say Tom took logarithm of both sides to base 10.

Then the equation becomes,



Tom needs to apply the following properties of logarithm :



to the left hand side to obtain,



The correct answer is A.