SOLUTION: Goodmorning, You would mind helping me with the following? Express as a single logarithm and if possible, simplify. Loga x^3-2 loga sqrt^3 x Sorry, I been out of sch

Algebra.Com
Question 250551: Goodmorning,
You would mind helping me with the following?
Express as a single logarithm and if possible, simplify.
Loga x^3-2 loga sqrt^3 x
Sorry, I been out of school for 15 years,and I am having a hard time.
Thank you

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Express as a single logarithm and if possible, simplify.
Loga x^3-2 loga sqrt^3 x
-------------------------------------
I am rewriting the problem as:
loga(x^3) - 2loga(x^(1/3))
---
= loa(x^3) - loga(x^(2/3)
---
= loga[x^3/x^(2/3)]
----
= loga[x^(7/3)]
OR
= (7/3)loga(x)
=====================
Cheers,
Stan H.

RELATED QUESTIONS

Express as a single logarithm, and if possible, simplify. Loga x3 – 2 loga... (answered by eshomali)
Express the following as a single logarithm and simplify. • 3/4 loga x - 1/2 loga... (answered by Theo)
Express loga X2 - 2 loga Square root of X as a single logarithm. Simplify if possible. (answered by lwsshak3)
Express as a single logarithm, and, if possible, simplify. 1/4 loga x+8 loga y-2loga... (answered by stanbon)
Hello, How would I do the following: 1. Express as a single logarithm and if... (answered by drk)
Express as a single logarithm, and, if possible, simplify?? 4 loga y + 1/7 loga z... (answered by Theo)
express as equivalent expression that a single logarithm and if possible simplify ('a'... (answered by Fombitz)
Express as an equivalent expression that is a single logarithm and if possible simplify (answered by jsmallt9)
Express as an equivalent expression that is a single logarithm and, if possible,... (answered by nerdybill)