Question

Use rules of logarithms to expan. Log (x+3)^2/ (x-2)(x^2+5)^4.

Answer 1

\[ \log \frac{(x+3)^2}{ (x-2)(x^2+5)^4.}\]
\[ \log \frac{(x+3)^2}{ (x-2)(x^2+5)^4.} = \log (x+3)^2 - \log[ (x-2)(x^2+5)^4]\]
\[ =2 \log (x+3) - [\log (x-2)+ \log (x^2+5)^4]\]
\[=2 \log (x+3) - [\log (x-2)+ 4 \log (x^2+5)]\]
\[=2 \log (x+3) - \log (x-2)- 4 \log (x^2+5)\] is the expanded form of the given problem.

@spontaneous44

Answer 2

@spontaneous44

Answer 3

thank you so much I understand it better!

Answer 4

@spontaneous44 Medal please!!!

Answer 5

I'm new here how do i give medals?

Answer 6

@spontaneous44 i think it solved now :))

Answer 7

yes :)