SOLUTION: Simplify the following expression. Your answer should not contain logarithms. e^(ln30x^5-ln6x^4)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Simplify the following expression. Your answer should not contain logarithms. e^(ln30x^5-ln6x^4)      Log On


   

Question 384763: Simplify the following expression. Your answer should not contain logarithms.
e^(ln30x^5-ln6x^4)
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Simplify:
e%5E%28%28ln%2830x%5E5%29-ln%286x%5E4%29%29%29 Simplify the exponent using the quotient rule: Log%5Bb%5D%28M%29-Log%5Bb%5D%28N%29+=+Log%5Bb%5D%28M%2FN%29
e^(ln(30x^5/6x^4)) Simplify the argument of the ln in the exponent.
e%5E%28ln%285x%29%29+=+5x Recall that: b%5E%28Log%5Bb%5D%28x%29%29+=+x so...
e%5E%28%28ln%2830x%5E5%29-ln%286x%5E4%29%29%29+=+5x