Question

Write the expression in the form

A log(x)+B log(x+1)+C log(x-2)

using the laws of logarithms

Answer 1

\[\large \log((x^{3}\sqrt{x+1})/(x^2-4x+4))\]

Answer 2

@Chlorophyll

Answer 3

Log ( A/ B ) = log A - Log B

Answer 4

i get this so far

\[\large \log(x^{3})+\log(\sqrt{x+1})-\log(x^{2}-4x+4)\]

Answer 5

dunno if its right

Answer 6

Bring the power down:
3 log x + (1/2) log ( x +1) - 2log ( x -2)

Answer 7

Hmm, so you factored x^2-4x+4 as (x-2)^2 and then put the 2 in front?

Answer 8

Yes, always attempt to convert into simplest form :)

Answer 9

I see, that was way simpler than i thought. Thanks

Answer 10

:)