SOLUTION: I cannot figure this out. I have tried and tried. I hope you can help me. Express as a single term that does not contain a logarithm: e^ln8x^5-ln2x^2 everything after the e i

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Question 222986: I cannot figure this out. I have tried and tried. I hope you can help me.
Express as a single term that does not contain a logarithm: e^ln8x^5-ln2x^2
everything after the e is the exponent
Thank you
Found 2 solutions by Alan3354, stanbon:
Answer by Alan3354(21583) About Me  (Show Source):
You can put this solution on YOUR website!
e^ln8x^5-ln2x^2
= e%5E%28ln%288x%5E5%29+-+ln%282x%5E2%29%29
=e%5E%28ln%284x%5E3%29%29
= 4x%5E3


Answer by stanbon(48535) About Me  (Show Source):
You can put this solution on YOUR website!
Express as a single term that does not contain a logarithm: e^ln8x^5-ln2x^2
everything after the e is the exponent
-----------------------------------------
e^ln8x^5-ln2x^2
---
= e^[ln(8x^5/2x^2)]
---
= e^[ln(4x^3)]
---
= 4x^3
================
That last step is the way it is because e^(ln(b)) = b
Cheers,
Stan H.