3log_8(512^{x^{2}})=36 Find x

Globokim8 2021-02-12 Answered
3log8(512x2)=36
Find x
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Expert Answer

joshyoung05M
Answered 2021-02-13 Author has 97 answers

Divide both sides by 3
log8(512x2)=12
Write in expinential form: logba=xbx=a
812=512x
Since 83=512, we can write
812=(83)(x2)
812=83x2
Equate exponens
12=3x2
4=x2
x=2x=2

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