Simplify without using tables \( \frac{\log_2 6}{\log_2 8} - \frac{\log_2 3}{\log_2 \frac{1}{2}} \)

Assessment: JAMB UTME - Mathematics - 1987 Subject: General Mathematics

Question 1 Report

Simplify without using tables \( \frac{\log_2 6}{\log_2 8} - \frac{\log_2 3}{\log_2 \frac{1}{2}} \)

Answer Details
log26 - log23 = log2 ( 6 3 ) = log22
log28 - 2 1 2  log28 - log2 1 2  log28 - log2 1 4
l o g 2 2 l o g 2 32 = l o g 2 2 5 l o g 2 2
=  1 5
N.B. log22 = 1

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