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

Solution:

Given, 5^y = 12

By applying base 5 logarithm to both sides.

base 5 log(5^y) = base 5 log (12)

We know, log_aa^x = x

y [base 5 log 5] = base 5 log (12)

Using the property that base 5 log 5 = 1, you get:

y = base 5 log (12).

So, you can approximate the value of y using the function f(x) = base 5 log (x).

The value of function is 1.54 at x = 5.

Therefore, the value of y in the equation 5y = 12 is y = base 5 log (12).

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

Summary:

The approximate value of y in the equation 5^y = 12 is y = base 5 log (12).