SOLUTION: Please help with this question "Express as a single logarithm and, if possible, simplity." 1. 2/5 log(a)x - 1/3 log(a) y 2. ln 2x + 3(1n x

SOLUTION: Please help with this question "Express as a single logarithm and, if possible, simplity." 1. 2/5 log(a)x - 1/3 log(a) y 2. ln 2x + 3(1n x - ln y) Thank you.

Question 167904: Please help with this question "Express as a single logarithm and, if possible, simplity."
1. 2/5 log(a)x - 1/3 log(a) y
2. ln 2x + 3(1n x - ln y)
Thank you.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started

1)

Start with the given expression

Rewrite the expression using the identity . In other words, take the coefficient that is in front of the logs and place them as exponents

Combine the logs using the identity

This next step is optional:

Convert from exponent notation to radical notation.

So the answer is

(which is in exponent notation) or

(which is in radical notation)
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