SOLUTION: Hi, Can you tell me if I did the below right? Rewrite the following as a single logarithm: 7lnx+4lny-3lnz I had: =ln(x^7)Xy^4)(-z^3) Using property of natural log

Question 196051This question is from textbook Finite Math and Applied Calculus
: Hi,
Can you tell me if I did the below right?
Rewrite the following as a single logarithm:
7lnx+4lny-3lnz
I had:
=ln(x^7)Xy^4)(-z^3)
Using property of natural logs ln (m/n) - lnM-lnN
= ln (x^7y^4 / z^-3)
Please let me know. Thank you!! This question is from textbook Finite Math and Applied Calculus

Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given expression

Take the coefficients and place them as exponents (just the absolute value of the coefficients)

Note:

Combine the logs using the identity

Combine the logs using the identity

So where , , and
RELATED QUESTIONS
How can I rewrite this problem as a single logarithm: 7lnx + 4lny... (answered by vleith)

How do I condense the expression into a single logarithm? ln... (answered by jim_thompson5910)

Rewrite the expression 3 ln(2) - 2 ( ln(10) - ln(4) ) in the form ln(x), a single... (answered by stanbon,josmiceli)

rewrite this equation as a single logarithm 1/3ln(x)-lny+3lnx This is the answer I... (answered by jim_thompson5910)

Rewrite the following expression as a single logarithm: 3 ln x-5 + ln... (answered by Marth)

how do I rewrite the logarithm below as a single logarithm with a coefficient of 1?... (answered by stanbon,scott8148)

I need help rewriting the expressions as a single logarithm. 1) 2lnx + 4lny 2)... (answered by Gogonati)

Rewrite the expression below as a single logarithm. Use x, y, and z in your answer as... (answered by MathLover1)

Rewrite the expression as a single logarithm; ln x + 5... (answered by stanbon)