3 years ago

Which of the following is the inverse of y=6^x? y=log_(6)x, y=log_(x)6, y=log_((1)/(6))x, y=log_(6)6x

Mathematics

2 answers:

Brums [2.3K]3 years ago

7 0

The answer is A, y=log_6 x.

kolezko [41]3 years ago

4 0

Answer:

y=log_(6)x

Step-by-step explanation:

From the definition of logarithm:

$x = log_b y$ <---> $y=b^x$

In our case, we have

$y=6^x$

which means that b=6, therefore the inverse function is

$x=log_6 y$

which can be rewritten by switching x and y:

$y=log_6 x$

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