Math, asked by Ablaze, 1 year ago

3^x+3^x+3^x+3^x=108. find x

Answers

Answered by HappiestWriter012

$3^{x}+ 3^{x} + 3^x + 3^x = 108 4(3^x) =108 3^x = 108/4 = 27 3^x = 27 x= log27 _{3} x = log(3^3)_ { 3} x = 3 log3_{3} $

$x = 3 log 3_3 x =3 $

Anonymous: Formula that are used: log(x^y) = y log x

Anonymous: log x to the base x = 1

Ablaze: ok

abhi178: not require using log concept

abhi178: but its nice

HappiestWriter012: I know but was thinking how I can make it big so...

Answered by abhi178

$3^x+3^x+3^x+3^x=108\\\\4.3^x=108\\\\3^x=\frac{108}{4}\\\\3^x=27\\\\3^x=3^3\\\\x=3$

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