Simplify 2log 25 2 5 - log72125 72 125 + log 9

Assessment: JAMB UTME - Mathematics - 1991 Subject: General Mathematics

Question 1 Report

Simplify 2log $\frac{2}{5}$ - log $\frac{72}{125}$ + log 9

1 - 4 log3

-1 + 2 log 3

-1 + 5 log2

1 - 2log 2

Answer Details

2log $\frac{2}{5}$ - log $\frac{72}{125}$ + log 9
[ $\frac{2}{5}$ )2 x 9] = log $\frac{4}{25}$ x $\frac{9}{1}$ x $\frac{125}{72}$
= log $\frac{72}{125}$
= log $\frac{5}{2}$
= log $\frac{10}{4}$
= log 10 - log 4
= log10 10 - log10 22
= 1 - 2 log2

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