Question

Find the answer to the question marked as (iv).

Answer 1

Answer:

$(\frac{1}{16} ) \times ( \frac{1}{2} ) {}^{2} = {( \frac{1}{2} )}^{3(x - 2)} \\ \\ {( \frac{1}{2} )}^{4} \times {( \frac{1}{2} )}^{2} = {( \frac{1}{2} )}^{3x - 6} \\ \\ {( \frac{1}{2} )}^{4 + 2} = {( \frac{1}{2} )}^{3x - 6} \\ \\ {( \frac{1}{2} )}^{6} = {( \frac{1}{2} )}^{3x - 6} \\ \\ 6 = 3x - 6 \\ \\ 6 + 6 = 3x \\ \\ 12 = 3x \\ \\ \frac{12}{3} = x \\ \\ 4 = x \\ \\ x = 4$

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