How do you simplify $2log_5 12-log_5 8-2log_5 3$ ?

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Answer 1 · 2016-11-10T16:41:06

This simplifies to $log_5(2)$ .

Use the rule $alogn = logn^a$ to get rid of the coefficients.

$=>log_5(144) - log_5(8) - log_5(9)$

Next, use the rule $log_a(n) - log_a(m) = log_a(n/m)$ .

$=>log_5((144/8)/9)$

$=>log_5(2)$

Hopefully this helps!

How do you simplify 2log_5 12-log_5 8-2log_5 32log_5 12-log_5 8-2log_5 3?