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Algebra Level 2

Evaluate log ⁡ 8 ÷ log ⁡ 1 8 \displaystyle \log { 8 } \div \log { \cfrac { 1 }{ 8 } }

0 6 log ⁡ 2 \displaystyle 6\log { 2 } -1 1

Soumo Mukherjee by Soumo Mukherjee , 25, India

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2 solutions

Ronik Gandhi
Aug 26, 2015

l o g 8 ÷ l o g 1 8 = l o g 8 l o g 8 − 1 = l o g 8 − 1 l o g 8 = − 1. {log} 8 ÷ {log} \frac{1}{8} = \frac{{log} 8} { {log} 8^{-1}} = \frac{{log} 8} { - 1{log} 8} = - 1 .

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Leonardo Marin
Aug 22, 2015

Log(8)÷log(1/8)= log(8)÷(log(1)-log(8)) = log(8)÷(0-log(8)) = log(8)÷(-log(8)) = -1

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