SOLUTION: Really need help on logarithm problems! log(x)+log(x-15)=2 ln(x+12)-ln(x)= ln(x+5) e^2x+2e^x-3=0

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Question 998450: Really need help on logarithm problems!
log(x)+log(x-15)=2
ln(x+12)-ln(x)= ln(x+5)
e^2x+2e^x-3=0
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!
log(x)+log(x-15)=2

Assumed base ten:


Rule of Logarithms says do this.


Put into exponential form:



Simpler algebra from there.


-
Either x=10 or x=-5.

Review laws of exponents and rules of logarithms.
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!

Really need help on logarithm problems!
log(x)+log(x-15)=2
ln(x+12)-ln(x)= ln(x+5)
e^2x+2e^x-3=0
Too many problems

1.        OR    x = - 5 (ignore)

2. Apply the same method/concept in 1.

3. 

  -  Factor this to get: 

  -  Set each factor equal to 0

  -  Solve for x and IGNORE any EXTRANEOUS solution 

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