³log(x²-4) = ³^²log 25.... Question from @kyun

September 2018 2 21 Report

³log(x²-4) = ³^²log 25

Ganjar64 ³log (x²-4) = ³∧²log 25
³log (x²-4) = ³∧²log 5²
³log (x²-4) = 2/2 ³log 5
³log (x²-4) = ³log 5
x²-4 = 5
x² = 5+4
x² = 9
x=3 atau x=-3

1 votes Thanks 2

IcukSugiarto $\bold{\underline{Solution:}}\\\\~^{3}\log\ (x^{2}-4)=~^{3^{2}}\log\ 25\\\Rightarrow~^{3}\log\ (x^{2}-4)=~^{3^{2}}\log\ 5^{2}\\\Rightarrow~^{3}\log\ (x^{2}-4)= \frac{2}{2} ~^{3}\log\ 5\\\Rightarrow~^{3}\log\ (x^{2}-4)= ~^{3}\log\ 5\\sehingga:\\\Rightarrow~x^{2}-4=5\\\Rightarrow~x^{2}~~~~~=5+4\\\Rightarrow~x^{2}~~~~~=9\\\Rightarrow~x~~~~~~= \pm \sqrt{9}\\\Rightarrow~x~~~~~~=-3~~~atau~~~x~~~~~~=3$

$===================================\\\bold{Note:}\\\boxed{~^{a^n}\log\ b^m= \frac{m}{n} ~^{a}\log\ b}$

1 votes Thanks 1

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