Calculators Topics Solving Methods Step Checker
Book solutions
Algebra Baldor
Go Premium
ENG • ESP
Topics

Condensing Logarithms


Definition

Combining or condensing logarithms consists of rewriting a mathematical expression with several logarithms into a single logarithm, by applying the properties of logarithms.


Problems Solved

$\log_4\left(x\right)-3\log_4\left(y\right)-\log_4\left(z\right)$
$\ln\left(\sec\left(x\right)\right)+\ln\left(\sin\left(x\right)\right)$
$\log\left(2+4\right)-\log\left(6\right)$
$\log_{2\:}\left(76.8\:\right)-\:\log_{2\:}\left(1.2\right)$
$\log_9\left(\:12\right)+\log_9\left(\:546.75\right)$
$\ln\left(x\right)+\ln\left(y\right)$
$-\frac{1}{2}\ln\left(x\right)+\ln\left(x^2+4\right)$

Struggling with math?

Access detailed step by step solutions to thousands of problems, growing every day!

Related topics

Expanding Logarithms

Popular problems

$\log\:_4\left(64\right)+\log_8\left(64\right)$ 6 views
$\ln\left(x\right)+\ln\left(y\right)$ 5 views
$\log\left(39\right)+\log\left(327\right)$ 5 views
$\ln\left(\sec\left(x\right)\right)+\ln\left(\sin\left(x\right)\right)$ 5 views
$\log\left(51.43\right)-\log\left(81.52\right)$ 5 views
$\ln\left(2x-1\right)-\left(\ln\left(x-1\right)\right)$ 3 views
$\frac{1}{2}\cdot \ln\left(x-9\right)+\frac{1}{2}\cdot \ln\left(x\right)$ 2 views
$\frac{1}{2}\cdot\ln\left(x-9\right)+\frac{1}{2}\cdot\ln\left(x\right)$