3 years ago

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

Mathematics

2 answers:

lord [1]3 years ago

4 0

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

ValentinkaMS [17]3 years ago

3 0

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

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