Simplify the following expressions- log3 64 - log2 1-27

log_364.log_2(1/27) = 3log_364.log_23 = 3log_364log_32 = 3log_264 = 3× 6 = 18 ...

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Standard IX

Mathematics

Conversion of Numbers Using Logarithms

Simplify the ...

Question

Simplify the following expressions.
$l o g_{3} 64 \cdot l o g_{2} (1 / 27)$

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Solution

${log}_{3} 64 . {log}_{2} (1 / 27)$

$= - 3 {log}_{3} 64 . {log}_{2} 3$

$= - 3 \frac{{log}_{3} 64}{{log}_{3} 2}$

$= - 3 {log}_{2} 64$

$= - 3 \times 6$

$= - 18$

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Simplify the following expressions.log364⋅log2(1/27)

log364.log2(1/27)=−3log364.log23=−3log364log32=−3log264=−3×6=−18

Simplify the following expressions.
$l o g_{3} 64 \cdot l o g_{2} (1 / 27)$

${log}_{3} 64 . {log}_{2} (1 / 27)$

$= - 3 {log}_{3} 64 . {log}_{2} 3$

$= - 3 \frac{{log}_{3} 64}{{log}_{3} 2}$

$= - 3 {log}_{2} 64$

$= - 3 \times 6$

$= - 18$