Question

U lite ULICI
2.
Write 2 log 3 - 3 log 2 as log N
IC.. . R - 10 n(A) = 8. n(B) = 6 then​

Answer 1

$2 log 3 - 3 log 2\: as \: Single \: log \\= log \: 3^{2} - log \: 2^{3}$

$\boxed { \pink { log a^{m} = m log a }}$

$= log \: 9 - log \: 8 \\= log \: \frac{9}{8}$

$\boxed { \pink { log\:m - log \: n = log \:\frac{m}{n}}}$

Therefore.,

$\red { 2 log 3 - 3 log 2} \green {= log \: \frac{9}{8}}$

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