Simplify without using tables log26log28 l o g 2 6 l o g 2 8 - log23log212

Question 1 Report

Simplify without using tables $\frac{l o g_{2} 6}{l o g_{2} 8}$ - $\frac{l o g_{2} 3}{l o g_{2} \frac{1}{2}}$

-1

log²3

log²7

Answer Details

log26 - log23 = log2 ( $\frac{6}{3}$ ) = log22
log28 - 2 $\frac{1}{2}$ log28 - log2 $\frac{1}{2}$ log28 - log2 $\frac{1}{4}$
$\frac{l o g_{2} 2}{l o g_{2} 32} = \frac{l o g_{2} 2}{5 l o g_{2} 2}$
= $\frac{1}{5}$
N.B. log22 = 1

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Logarithms

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