SOLUTION: Solve the equation. log(x+5)-logx=3

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Question 1009725: Solve the equation.
log(x+5)-logx=3
Found 3 solutions by addingup, MathLover1, MathTherapy:
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
log(x+5)-logx=3
log(1/x)+log(x+5)= 3
log((x+5)/x)= 3 now take exponent on both sides to get rid of log
(x+5)/x= e^3 multiply both sides times x:
x+5= e^3x subtract 5+e^3 from both sides
(1-e^3)x= -5
Divide both sides by 1-e^3:
x= -5/(1-e^3)
Answer by MathLover1(20849)   (Show Source): You can put this solution on YOUR website!


....in base will be


...if log same, we have








Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Solve the equation.
log(x+5)-logx=3
log (x + 5) – log x = 3



 ------- Converting to EXPONENTIAL form



1,000x = x + 5 ----- Cross-multiplying

1,000x – x = 5

999x = 5_______ 

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