solve the logarithmic equation. Remember to check for extraneous solutions:

Question

log₅(x-12)+log₅(5)=2

Answer 1

log₅(x-12) + log₅(5) = 2

Since log₅(5) = 1, we can write the equation as:

log₅(x-12) + 1 = 2

log₅(x-12) = 1

Raise both sides as exponents to a base 5:

x - 12 = 5¹

Can you finish it?