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math help PLEASE!?
I need help! How do I do this?! It says Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator
In√x/y
1 Answer
- 1 decade agoFavorite Answer
You will need a to use a few log properties:
Property 1: ln(x^y) = yln(x)
*exponents "pull" forward
Property 2: ln(x/y) = ln(x) - ln(y)
*quotients to differences
Now for your problem:
ln√x/y
= ln(x/y)^(½)
= ½ ln(x/y) (by property 1)
=½[ln(x) - ln(y)] (by property 2)
= ½ln(x) - ½ln(y)
Hope this helps!
~Angel
Source(s): College Mathematics Instructor
