SOLUTION: Please write the algebraic equation which can be used to find the exact solution of log base 5^(x-4) + log base 5^(x+1)=3. Thank you.

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Please write the algebraic equation which can be used to find the exact solution of log base 5^(x-4) + log base 5^(x+1)=3. Thank you.      Log On


   

Question 75947: Please write the algebraic equation which can be used to find the exact solution of
log base 5^(x-4) + log base 5^(x+1)=3. Thank you.
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
log base 5^(x-4) + log base 5^(x+1)=3. Use the product rule for logs.
log base 5^ (x-4)(x+1)=3 Rewrite as an exponential eqaution.
highlight%28%28x-4%29%28x%2B1%29=5%5E3%29
Rememeber that even when you solve this, you need to check your solutions and make sure they aren't extraneous.
Happy Calculating!!!!