SOLUTION: How do I write these as the logarithm of a single expression... log(x^2+3x-10)-log(x+5) 3log(2x^2)-(1/2)log(16x^4) -2log(P)+(1/3)log(R)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: How do I write these as the logarithm of a single expression... log(x^2+3x-10)-log(x+5) 3log(2x^2)-(1/2)log(16x^4) -2log(P)+(1/3)log(R)       Log On


   

Question 467119: How do I write these as the logarithm of a single expression...
log(x^2+3x-10)-log(x+5)
3log(2x^2)-(1/2)log(16x^4)
-2log(P)+(1/3)log(R)

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write these as the logarithm of a single expression...
log(x^2+3x-10)-log(x+5)
---
= log[(x^2+3x-10)/(x+5)]
----
= log[(x+5)(x-3)/(x+5)]
---
= log(x-3)
==========================================
3log(2x^2)-(1/2)log(16x^4)
---
= log[(2x^2)^3/sqrt(16x^4)]
----
= log[8x^6/4x^2]
---
= log[2x^4]
====================

-2log(P)+(1/3)log(R)
---
= log[P^-2 * R^1/3)]
---
= log[cbrt(R)/P^2]
=========================
Cheers,
Stan H.
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