Condense the logarithmic expression ln(3)+2ln(x)-ln(x+1)

 Exercise

$\ln\left(3\right)+2\ln\left(x\right)-\ln\left(x+1\right)$

 

Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$, where $n$ equals $2$

$\ln\left(3\right)+\ln\left(x^2\right)-\ln\left(x+1\right)$

 

Applying the product rule for logarithms: $\log_b\left(MN\right)=\log_b\left(M\right)+\log_b\left(N\right)$

$\ln\left(3x^2\right)-\ln\left(x+1\right)$

 

The difference of two logarithms of equal base $b$ is equal to the logarithm of the quotient: $\log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right)$

$\ln\left(\frac{3x^2}{x+1}\right)$

$\ln\left(\frac{3x^2}{x+1}\right)$

 Try other ways to solve this exercise

Can't find a method? Tell us so we can add it.