# Math Help - Logarithm question....need help

1. ## Logarithm question....need help

Write as a sing logarithm...x>0
i simplified it by moving the exponents to the side and i got to this
i dont know what to do from here......plz help

2. ## Re: Logarithm question....need help

Originally Posted by koolaid123
Write as a sing logarithm...x>0
i simplified it by moving the exponents to the side and i got to this
i dont know what to do from here......plz help
You have one mistake.
It is $-4$ not $+4\log_a$.

It is not clear what more you what to be done?

3. ## Re: Logarithm question....need help

its still positive 4....i forgot to put brackets before the 3 and and the end....those two are multiplied by each other.....i have to write this as a single logarithm

4. ## Re: Logarithm question....need help

Originally Posted by koolaid123
its still positive 4....i forgot to put brackets before the 3 and and the end....those two are multiplied by each other.....i have to write this as a single logarithm
You are wrong.
$\log _a \left( {\frac{{\sqrt {x^2 + 1} }}{{x^3 \left( {x + 1} \right)^4 }}} \right) = \frac{1}{2}\log _a \left( {x^2 + 1} \right) - 3\log _a (x) - 4\log_a \left( {x + 1} \right)$