A logarithm of a single quantity

[ohhnana]

Homework Statement

Write the expression as a logarithm of a single quantity
3log5^a+4log5^b-2log5^c

Homework Equations

none

The Attempt at a Solution

??

 

[SammyS]

First of all, what is the problem you're trying to solve?

1. $$3\log\,5^a+4\log\,5^b-2\log\,5^c\,,$$ which is what you literally wrote.

or

2. $$3\log_5\ a+4\log_5\,b-2\log_5\,c\,,$$ which is more likely.

 

[ohhnana]

$$3\log_5\ a+4\log_5\,b-2\log_5\,c\,,$$

 

[ohhnana]

thats what I'm trying to solve

 

[Bogrune]

Try to refer to these laws:

log_aV + log_aW = log_aVW

log_aV - log_aW = log_a(V/W)

and

Ulog_aV = log_aV^U

Just try to apply these laws to your problem.