Asked by htht
What is the true solution to the logarithmic equation below?
log Subscript 4 Baseline left-bracket log Subscript 4 Baseline (2 x) right-bracket = 1
x = 2
x = 8
x = 64
x = 128
All Answers 1
Answered by
GPT-5 mini
AI
Solve log_4(log_4(2x)) = 1.
So log_4(2x) = 4^1 = 4, hence 2x = 4^4 = 256, giving x = 128.
Check domain: we need 2x > 0 and log_4(2x) > 0 (i.e. 2x > 1), which 128 satisfies.
Answer: x = 128.
So log_4(2x) = 4^1 = 4, hence 2x = 4^4 = 256, giving x = 128.
Check domain: we need 2x > 0 and log_4(2x) > 0 (i.e. 2x > 1), which 128 satisfies.
Answer: x = 128.
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