SOLUTION: How would I write an expression as a single logarithm? evaluate where possible 1. 5lnx-3lny 2. 2logx + 5logy -9logz Thank you

Algebra.Com
Question 1042522: How would I write an expression as a single logarithm? evaluate where possible
1. 5lnx-3lny
2. 2logx + 5logy -9logz
Thank you

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
How would I write an expression as a single logarithm? evaluate where possible
1. 5lnx-3lny = ln(x^5) - ln(y^3) = ln[x^5/y^3]

2. 2logx + 5logy -9logz
---------------
log(x^2) + log(y^5) - log(z^9)
------
= log[x^2*y^5/z^9]
=================
Cheers,
Stan H.
================

RELATED QUESTIONS

how do i solve this problem? write the expression 2/3lny-4lnx-1/2lnz as a logarithm of (answered by stanbon)
Could you help me with these logarithms? Condense each logarithmic expression and write... (answered by josmiceli)
write ln3y + 1/2 lnx - 3lny as a single logarithm in simplest... (answered by fractalier)
Can you please help me to write this logarithm as a single logarithm? 1/2logx + 1/3logy... (answered by stanbon,MathLover1)
Rewrite as a single logarithm: 2logx - 1/2log(x^2+1) + 2log(x-3) Thank... (answered by malakumar_kos@yahoo.com)
Write as a single logarithm: log2 + 3logx - 5logy - 2/3 log... (answered by josmiceli,MathLover1)
write the given expression as a single logarithm... (answered by Alan3354)
Write the expression as a single logarithm: 2lnx-3lny. Would it be (1) ln(2x/3y)... (answered by solver91311)
ln4+5lnx as a single... (answered by Fombitz)