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Question

Answer 1

15).

Step 1 : 4^{x - 1}  = 64^{x + 3}

Step 2 : 4^{x - 1}  = 4^{3 (x + 3)}

Step 3 : 4^{x - 1}  = 4^{3x + 9}

Step 4 : x - 1 = 3x + 9     (∴ a^x  = a^y  ⇔ x = y)

16).

The expression is .

Apply quotient property logarithm: .

.

Therefore, .