Loga-rhythm

Algebra Level 3

log ⁡ 0.75 log ⁡ 2 0.125 − 2 = ? \large \log_{0.75} \log_2 \sqrt[-2]{ \sqrt{0.125}} =\, ?

log 10 0 3/4 1 1/2

Silver Vice by Silver Vice , 20, India

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1 solution

Silver Vice
Feb 2, 2016

Log3/4 base 3/4 not equals log1 base 1. My bad.

2 Helpful 0 Interesting 0 Brilliant 0 Confused

log ⁡ 3 4 3 4 ≠ log ⁡ 1 1 \displaystyle \log_{\frac 34} \frac 34 \neq \log_1 1 because log ⁡ 1 1 \displaystyle \log_1 1 is undefined. It is sufficient to say that log ⁡ 3 4 3 4 = 1 \displaystyle \log_{\frac 34} \frac 34 = 1 .

Zach Abueg - 3 years, 11 months ago

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