Question

1 over the square root of 8 = 4^(m − 2)?

Answer 1

5.5

Explanation:

`(1)/( √(8) ) = {4}^((m - 2)) \\`

Squaring both sides

`(1)/(8) = {4}^(2(m - 2)) \\ (1)/(8) = {4}^(2) * {4}^((m - 2)) \\ \frac{1}{8 * {4}^(2) } = {4}^((m - 2)) \\ (1)/(8 * 16) = {4}^((m - 2)) \\ (1)/(128) = {4}^((m - 2)) \\ log_(4)(128) = (m - 2) \\ (7)/(2) = m - 2 \\ m = (11)/(2) = 5.5`