Solve log₄(y − 9) + log₄(4) = log₄(64).

We will use the properties of the logarithm to solve the equation.

Answer: For log4(y − 9) + log4(4) = log4(64), the value of y = 25.

Let us see how we will use the properties of logarithm to solve the equation.

Explanation:

It is given that, log₄(y − 9) + log₄(4) = log₄(64).

We will use the formula log a + log b = log ab.

log₄ [4 × (y - 9)] = log₄(64)

4 × (y - 9) = 64

y - 9 = 16

y = 25

Hence, for log4(y − 9) + log4(4) = log4(64), the value of y = 25.