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# Solve log_{4}(y − 9) + log_{4}(4) = log_{4}(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, log_{4}(y − 9) + log_{4}(4) = log_{4}(64).

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

log_{4} [4 × (y - 9)] = log_{4}(64)

4 × (y - 9) = 64

y - 9 = 16

y = 25

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

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