SOLUTION: Solve the logarithmic equation using the one-to-one property. log (x + 5) = log (5x - 4)

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Question 470432: Solve the logarithmic equation using the one-to-one property.
log (x + 5) = log (5x - 4)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Solve the logarithmic equation using the one-to-one property.
log (x + 5) = log (5x - 4)
**
log (x+5)- log (5x-4)=0
log[(x+5)/(5x-4)]=0
convert to exponential form: (base (10) raised to log of number(0)=number(x+5)/(5x-4)
10^0=(x+5)/(5x-4)=1
x+5=5x-4
4x=9
x=9/4
Check:
log(9/4+5)-log(5*9/4-4)
.8603-.8603=0