Logarithm and Exponential Equations and Properties

Convert the following equation to "Log Form".
 $a=k^x$  

•  $\log_a\left(k\right)=x$  

•  $x=\log_k\left(a\right)$  

•  $k=\log_x\left(a\right)$  

•  $k=\log_a\left(x\right)$  

Tags

CCSS.HSF.BF.B.5

Convert the following equation to "Exponential Form".
 $p=\log_r\left(x\right)$  

•  $p=x^r$  

•  $p=r^x$  

•  $p^r=x$  

•  $r^p=x$  

Tags

CCSS.HSF.BF.B.5

Solve the following log equation.
 $\log_4\left(2x+8\right)=\ 3$  

Tags

CCSS.HSF.BF.B.5

 $3^{\left(x+2\right)}=12$  

Solve the following exponential equation for x.

Expand the following.
 $\log\left(10m^5\right)$  

 
 

•  $10\log\left(5m\right)$  

•  $5\log\left(10\right)+\log\left(m\right)$  

•  $\log(5)+\log(2)+5\log(m)$  

•  $5\log(5)+\log(2)+\log(m)$  

Condense the following log expression.
 $3\log\left(x\right)+2\log\left(5\right)-\log\left(y\right)$  

•  $\log\left(\frac{25x^3}{y}\right)$  

•  $\log\left(\frac{10x^3}{y}\right)$  

•  $\log\left(\frac{30x}{y}\right)$  

•  $\log\left(25x^3y\right)$  

Find the inverse equation of:

 $y=\log_2\left(x\right)+7$  

Answer with NO Spaces.

Tags

CCSS.HSF-BF.B.4A