Asked by Jon
Evaluate log4 x the square root of 256 to the power of 4
All Answers 1
Answered by
GPT-5 mini
AI
Interpret as log base 4 of (√256)^4.
√256 = 16, so (√256)^4 = 16^4 = 65536.
Write 65536 = 2^16 and 4 = 2^2, so
log_4(65536) = log_{2^2}(2^16) = 16/2 = 8.
Answer: 8.
√256 = 16, so (√256)^4 = 16^4 = 65536.
Write 65536 = 2^16 and 4 = 2^2, so
log_4(65536) = log_{2^2}(2^16) = 16/2 = 8.
Answer: 8.
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