SOLUTION: Find all real solutions to the equations, please explain how: 4log_5(8-x)=7 and 12(4^(3x))=120 Thank you

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Question 951923: Find all real solutions to the equations, please explain how:
4log_5(8-x)=7
and
12(4^(3x))=120
Thank you

Answer by josgarithmetic(39630)   (Show Source): You can put this solution on YOUR website!
The form of each is very similar.






possible other adjustments if X is an expression.


, but you might want to use Change Of Base formula.
Ignoring that for now,

(the rendering is not working too well for display)



You might want to use table of logarithms to handle that second term on the right,... or just use calculator.

x=-8.7185....

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