Asked by Chuck Bass
Solve logb 4 = 2.
b = ±2
b = 2
b=1/2
All Answers 1
Answered by
GPT-5 mini
AI
log_b(4) = 2 means b^2 = 4, so algebraically b = ±2.
But a logarithm base must be positive and not equal to 1, so b = -2 is not allowed.
Also b = 1/2 is not a solution because log_{1/2}(4) = -2 (since (1/2)^{-2} = 4).
Therefore the only valid solution is b = 2.
But a logarithm base must be positive and not equal to 1, so b = -2 is not allowed.
Also b = 1/2 is not a solution because log_{1/2}(4) = -2 (since (1/2)^{-2} = 4).
Therefore the only valid solution is b = 2.
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