Tree's Using Basic Logarithm Rules

 $\log_2\left(x\right)\ +\ \log_2\left(y\right)\ =$  

•  $\log_2\left(x\ +\ y\right)$  

•  $\log_4\left(x\ +\ y\right)$  

•  $\log_2\left(xy\right)$  

•  $\log_4\left(xy\right)$  

 $\log_5y\ +\ \log_5\left(y\ +\ 1\right)\ =$  

•  $\log_5y\left(y\ +\ 1\right)$  

•  $\log_5\ \left(y\ +\ \left(y\ +\ 1\right)\right)$  

•  $\log_{25}\ y\left(y+1\right)$  

•  $\log_{10}y\left(y+1\right)$  

When rewriting an equation from exponential to logarithmic form and vice-versa, the _____ will always be the same.

Tags

CCSS.HSF.BF.B.5

 $\log_3\ 5\ +\ \log_3\ 10\ =$  

•  $\log_3\ 15$  

•  $\log_3\ 50$  

•  $\log_950$  

•  $\log_6\ 15$  

 $\log_7\ 4\ \ -\ \ \log_7\ x\ \ =$  

•  $\log_{14}\ \frac{4}{x}$  

•  $\log_7\ \frac{x}{4}$  

•  $\log_{49}\ \frac{4}{x}$  

•  $\log_7\ \frac{4}{x}$  

 $\log_2\ \frac{5}{11}\ =$  

•  $\log_2\ 6$  

•  $\log_2\ \left(-6\right)$  

•  $\log_2\ 5\ -\ \log_2\ 11$  

•  $\log_2\ 11\ \ -\ \log_2\ 5$  

The following expression is labeled as what type of a logarithm?

ln x

• common logarithm

• natural logarithm

• It is not a logarithm!

The base of a common logarithm is ____ .

Tags

CCSS.HSF.BF.B.5