SOLUTION: 1. Write the following as single expression as a single logarithm a)4ln(2x)+ln(6/x) = 2ln(2x) Can you please help me out ? Thanks so much in advance:) Can you please show the

Algebra.Com
Question 742574: 1. Write the following as single expression as a single logarithm
a)4ln(2x)+ln(6/x) = 2ln(2x)
Can you please help me out ? Thanks so much in advance:)
Can you please show the steps it would really help me understand:)

Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
4ln(2x)+ln(6/x) = 2ln(2x)
-----
2ln(2x) + ln(6/x) = 0
--------
ln(2x)^2 + ln(6/x) = 0
------
ln[4x^2*(6/x)] = 0
------
ln[24x] = 0
----
24x = e^0
---
x = 1/24
================
Cheers,
Stan H.
==================

RELATED QUESTIONS

1. Write the following as single expression as a single logarithm a)4ln(2x)+ln(6/x)-... (answered by mananth)
Write the given expression as a single logarithm.... (answered by jsmallt9)
Here is my problem: Write the expression as a single logarithm... (answered by stanbon)
How can I write the expression as a logarithm of a single quantity for the following... (answered by jim_thompson5910)
Write the following as a single logarithm ln(x+3)-5ln(x)+4ln(x-2) I can not figure... (answered by Fombitz)
what is 4ln(x+1)+2ln(2x-8)-6ln(x) written as a single logarithm (answered by lwsshak3)
How do I write the expression as a single logarithm?... (answered by lwsshak3)
Write the following expression as a logarithm of a single quantity:... (answered by rapaljer)
Write the following expressions as single logarithm a) 3 ln x - 2 ln x^2 + ln x b)... (answered by MathLover1)