Question

Study the pattern in the equations. Use your observations to solve the equation for a. Express your answer in terms of

log4x 2^a = 3

Answer 1

(log64x³) / 2 log = a

Explanation:

Given the equation :

log4x 2^a = 3

Recall: If :

loga b = c becomes ; a^c = b

log4x 2^a = 3 ; becomes ; (4x)^3 = 2^a

4^3 * x^3 = 2^a

64x^3 = 2a

log64x³ = log 2a

log64x³ = 2 log a

Divide both sides by 2 log

(log64x³) / 2 log = 2 log a / 2 log

(log64x³) / 2 log = a