# 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_{a}a^{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).

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