Question

13 POINTS!!!!!

Which logarithmic graph can be used to approximate the value of y in the equation 5y = 12?

I really think it's D. Am I right, please explain why?

Answer 1

The graph of function f of x equals log base 5

So yes , D

Answer 2

The correct option is D.

Explanation:

The given equation is

`5^y=12`

Taking log with base five on both the sides.

`log_(5)5^y=log_(5)12`

`y=log_(5)12`
`[\because log_aa^x=x]`

This function can be written as

`y=log_(5)x`

Where, x=12.

Substitute x=5 in the above function.

`y=log_(5)5=1`

At x=5, the value of function is 1.

Only in option D, the value of function is 1 at x=5.

Therefore, the correct option is D.