Question

Which of the following is the inverse of y=3^x
Please hurry

A. y= 1/3^x

B. y=log3x

C. y=(1/3)^x

D. y=log1/3x

Answer 1

y=3^x is an exponential function.  We want the inverse function, which is a log function.

Here the base is 3.  Taking log to the base 3 of y=3^x,

(log to the base 3 of y) = x   (answer)

Answer 2

Answer:

$y=log_3x$

Step-by-step explanation:

We want to find the inverse of $y=3^x$.

We interchange $x$ and $y$ to obtain,

$x=3^y$.

We now make y the subject by taking logarithm of both sides to base 3 to get,

$log_3x=log_33^y$.

$log_3x=y\:log_33$.

$\Rightarrow log_3x=y\:(1)$.

$\Rightarrow y=log_3x$

The correct answer is B.