# Thread: College Algebra help: Logarithms

1. ## College Algebra help: Logarithms

Write as a single logarithm with no numerical coefficients.

2log 3x-logx + 1/2 log y

Write as an expanded logarithm with no exponents.

ln5 (25x^3/y^4)

*note* the "5" after the "ln" is low so its opposite to a carot or root. I just couldnt type it.

2. Originally Posted by Peyton Sawyer
Write as a single logarithm with no numerical coefficients.

2log 3x-logx + 1/2 log y

Write as an expanded logarithm with no exponents.

ln5 (25x^3/y^4)

*note* the "5" after the "ln" is low so its opposite to a carot or root. I just couldnt type it.
$2\log{3x} - \log{x} +\frac{1}{2}\log{y} = \log{(3x)}^2 - \log{x} + \log{\sqrt{y}} = \log{\frac{9x^2\sqrt{y}}{x}}$

3. Originally Posted by 11rdc11
$2\log{3x} - \log{x} +\frac{1}{2}\log{y} = \log{(3x)}^2 - \log{x} + \log{\sqrt{y}} = \log{\frac{9x^2\sqrt{y}}{x}}$
Thanks! is that answer final as to a single logarithm?

4. $\ln_5 \frac{25x^3}{y^4}$

$\ln_5{25x^3} - \ln_5{y^4}$

$\ln_5{25} +\ln_5{x^3} -4\ln_5{y}$

$2 +3\ln_5{x} -4\ln_5{y}$