SOLUTION: How do you rewrite the following expressions as a single logarithm, 3log[base 2](x)+log[base 2](y), and 5ln(a)-ln(2b)?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do you rewrite the following expressions as a single logarithm, 3log[base 2](x)+log[base 2](y), and 5ln(a)-ln(2b)?      Log On


   



Question 1100197: How do you rewrite the following expressions as a single logarithm, 3log[base 2](x)+log[base 2](y), and 5ln(a)-ln(2b)?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
How do you rewrite the following expressions as a single logarithm, 3log[base 2](x)+log[base 2](y), and 5ln(a)-ln(2b)?
----------
Assuming it's 2 different problems:
3log%282%2Cx%29+%2B+log%282%2Cy%29
= log%282%2Cx%5E3%29+%2B+log%282%2Cy%29
= log%282%2Cx%5E3y%29
===========================
and 5ln(a)-ln(2b)
= ln(a^5) - ln(2b)
= ln%28a%5E5%2F%282b%29%29