Common Log Properties Part 1

Which property is used in the following logarithm problem?  $5\log\left(x\right)$  

•  $\log\left(x\cdot y\right)=\log\left(x\right)+\log\left(y\right)$  

•  $\log\left(x^r\right)=r\log\left(x\right)$  

•  $\log\left(\frac{1}{x}\right)=\ -\log\left(x\right)$  

•  $\log\left(\frac{x}{y}\right)=\log\left(x\right)-\log\left(y\right)$  

Which property is used in the following logarithm problem?  $\log\left(4\right)-\log\left(9\right)$  

•  $\log\left(x\cdot y\right)=\log\left(x\right)+\log\left(y\right)$  

•  $\log\left(x^r\right)=r\log\left(x\right)$  

•  $\log\left(\frac{1}{x}\right)=\ -\log\left(x\right)$  

•  $\log\left(\frac{x}{y}\right)=\log\left(x\right)-\log\left(y\right)$  

 $\log\left(4\right)+\log\left(3\right)$  Rewrite as a single logarithm using properties of logarithms

•  $\log\left(7\right)$  

•  $\log\left(12\right)$  

•  $\log\left(1\right)$  

•  $\log\left(\frac{4}{3}\right)$  

Rewrite as a single logarithm using properties of logarithms  $\log\left(2\right)-\log\left(3\right)$  

•  $\log\left(1\right)$  

•  $\log\left(6\right)$  

•  $\log\left(\frac{2}{3}\right)$  

•  $\log\left(\frac{3}{2}\right)$  

 $4\log\left(2\right)$  Rewrite as a single logarithm using properties of logarithms

•  $\log\left(4^2\right)$  

•  $\log\left(4\cdot2\right)$  

•  $\log\left(2+4\right)$  

•  $\log\left(2^4\right)$  

 $-\log\left(3\right)$  Rewrite as a single logarithm using properties of logarithms

•  $\log\left(\frac{1}{3}\right)$  

•  $\log\left(-3\right)$  

•  $\log\left(1\right)-\log\left(3\right)$  

•  $\log\left(3\right)$  

 $\log\left(4\cdot3\right)$  Rewrite the logarithm problem using a property and use the table to evaluate.

•  $0.8451$  

•  $1.0792$  

•  $0$  

•  $0.125$  

Rewrite the logarithm problem using a property and use the table to evaluate.  $\log\left(\frac{2}{3}\right)$  

•  $0$  

•  $0.7782$  

•  $-0.1761$  

•  $0.1761$  

Rewrite the logarithm problem using a property and use the table to evaluate.   $\log\left(2^4\right)$  

•  $4.3010$  

•  $3.699$  

•  $.602$  

•  $1.204$  

Rewrite the logarithm problem using a property and use the table to evaluate.   $\log\left(\frac{1}{3}\right)$  

•  $0.4771$  

•  $-0.4771$  

•  $0.7781$  

•  $-0.7781$