Question

How do you do this problem?

Use the properties of logarithms to write the following expression as a single logarithm.

2log(x - 1) - 3log(x)

Answer 1

http://www.chilimath.com/algebra/advanced/log/images/rules%20of%20exponents.gif

look at the 1st and the 2nd rules listed there

Answer 2

Yeah, but there are numbers in front...

Answer 3

yes

Answer 4

so using the 1st rule shown there
\(\bf 2log(x - 1) - 3log(x)\\
log(x-1)^2 -3log(x)\)

Answer 5

actually, the 3rd listed dohh

Answer 6

anyhow, the rest is done by the 2nd one listed there

Answer 7

so \[\log(x-1)^2/\log(x)^3 ??\]

Answer 8

yes :)

Answer 9

Ok, ty.

Answer 10

yw