Question

Which logarithmic equation is equivalent to 3^2 = 9?

Answer 1

Answer:  $log_39=2$ is the logarithmic equation which is equivalent to$3^2=9$.

Step-by-step explanation:

According to the laws of logarithms

$log_b\ x=n$ ,where b=base ,n,x all are positive

It can be written in exponential form such as

$x=b^n$

Now in the given question x=9 ,b=3 and n=2 such that it will equals to

$log_39=2$

Hence the logarithmic equation for $3^2=9$ is$log_39=2$.

Answer 2

3^2=9
take log base 3 of both sides of equation log3(32)=log3 9
since loga a=x, the left side simplifies2=log3 9