6^x+2=4^x

Tobias Ali

Tobias Ali

Answered question

2020-11-14

6x+2=4x

Answer & Explanation

Viktor Wiley

Viktor Wiley

Skilled2020-11-15Added 84 answers

Take the natural logarithm of both sides:
ln6x+2=ln4x
Apply Power Property of logarithms: logbxa=alogbx
(x+2)ln6=xln4
xln6+2ln6=xln4
Subtract xln6 from both sides:
2ln6=xln4xln6
Factor out x:
2ln6=(ln4ln6)x
Divide both sides by ln4ln6ln4ln6:
2ln6ln4ln6=x
or
x=2ln6ln4ln68.84

Jeffrey Jordon

Jeffrey Jordon

Expert2021-08-11Added 2605 answers

Eexplanation:

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