Question

Which of the following is the inverse of y=6^x ?

A. Y=log 6x
B. Y=Log x6
C. YLog1/6X
D. Y=Log 6. 6x

Answer 1

y=6^x
log y = log 6^x
log y = x log 6
(log y) / (log 6) = x
Inverse: y = (log x) / (log 6)

Answer 2

we have that
y=6^x
we know
to find the inverse
replace x with y and y with x,
x=6^y

we know that
y=logb(x)----------> x=b^y

therefore
x=6^y---------------> y=log6(x)

the answer is the option A.) Y=log 6x