Question

What is the solution to the equation 1 over the square root of 8 = 4^(m + 2)? A) m = − 15 over 4 B) m = − 11 over 4 C) m = 5 over 4 D) m = 9 over 4

Answer 1

B) m = -11/4

Explanation:

What is the solution to the equation 1/sqrt(8) = 4^(m+2)

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

A) m = − 15 / 4

B) m = − 11 / 4

C) m = 5 / 4

D) m = 9 / 4

1/sqrt(8) = 4^(m+2) apply law of exponents

1/2^(3/2) = (2^2)^(2m+4)

2^(-3/2) = (2)^(2m+4)

-3/2 = 2m+4

2m = -11/2

m = -11/4