Multiply logs help

2,538
1
1. The problem statement, all variables and given/known data
1/4ln(x+2) + 1/3ln(x+3)


2. Relevant equations



3. The attempt at a solution
k so i know when we add log we can mulptily them an the number in front
of it is the power.
so would it be ln{(x+2)(x+3)} do we just multiply the numbers in front of the logs or do we add them
 

Dick

Science Advisor
Homework Helper
26,249
611
Re: logs

a*ln(b)=ln(b^a). So if you want to combine the two logs I would bring the factors outside into the log as powers before combining them.
 
2,538
1
Re: logs

ok i got ya
 
31,931
3,893
Re: logs

Also, I would interpret 1/4ln(x+2) + 1/3ln(x+3) as you probably meant it (with the two ln terms in the numerators), but it might cause confusion with some people.

It's probably better to write this as 1/4 * ln(x+2) + 1/3 * ln(x+3), making it clearer that the first ln term is being multiplied by 1/4 and the second by 1/3.
 

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