Evaluate: log4 (1/8) how can i solve without a calculator. i know this answer is -1.5 = log(1/8) log 4
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I would not use a change of base rule here. What you want is in terms of 4's, i.e., . Now you can use your log rules to calculate the actual value.
Hello, danielh9103! Evaluate: . Let: . Then: . Hence: . Therefore: .
log(1/8)=log(1/2^3)=log(2^(-3))=-3log2=-3/2
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