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".

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".

Answer by jorel1380(3719) (Show Source): 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(x�-12x+32)=1
x�-12x+32=5
x�-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
☺☺☺☺
RELATED QUESTIONS
Solve for x. 125^(4-7x) = 5^(x^2-22x-18) If there is more than one solution, I need (answered by josgarithmetic)

Solve for x. 3x^2 - 11x = - 6 (If there is more than one solution, separate them... (answered by nerdybill)

Solve for w. 4 + 5/w - 7 = 7/(w + 1) (w - 7) (If there is more than one solution, (answered by stanbon)

Solve for w. (w+6)/(w+5)=((w-1)/W-7))+1 If there is more than one solution,... (answered by tommyt3rd)

Solve for , where is a real number. (under a radical) -x+6 + (under a different... (answered by stanbon)

solve for x. 2^(x^2-x+10)=16^(7-x) if there is more than one solution, separate them... (answered by Murthy,MathTherapy)

solve x^2=8, where x is a real number. simplify your answer as much as possible. if there (answered by oscargut)

Solve =x^2 64 , where x is a real number. Simplify your answer as much as... (answered by Alan3354)

Use the quadratic formula to solve for x. 7x^2 - 3x - 2 = 0 (If there is more... (answered by jjordan95)