SOLUTION: Solve for x
log(base 5)(x-8)=1-log(base 5)(x-4)
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
Algebra ->
Exponential-and-logarithmic-functions
-> SOLUTION: Solve for x
log(base 5)(x-8)=1-log(base 5)(x-4)
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
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Question 1087052: Solve for x
log(base 5)(x-8)=1-log(base 5)(x-4)
If there is more than one solution, separate them with commas.
If there is no solution, click on "No solution".
You can put this solution on YOUR website! log_5(x-8)=1-log_5(x-4)
log_5(x-8)+log_5(x-4)=1
log_5(x-8)+log_5(x-4)=log_5(x-8)(x-4)=log_5(x²-12x+32)=1
x²-12x+32=5
x²-12x+27=0
(x-9)(x-3)=0
Since you can't take the logarithm of a negative number, your one answer is x=9
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