Logarithm Properities

Which is the power property of logarithms?

• $\log_b\left(x\cdot y\right)=\log_bx\ +\log_by$

• $\log_b\left(\frac{x}{y}\right)\ =\ \log_bx\ -\log_by$

• $\log_b\ x^n\ =n\log_bx$

Tags

CCSS.HSF.BF.B.5

Which is the product property of logarithms?

• $\log_b\left(x\cdot y\right)\ =\log_bx\ +\log_by$

• $\log_b\left(\frac{x}{y}\right)\ =\ \log_bx\ -\ \log_by$

• $\log_bx^n=n\log_bx$

Tags

CCSS.HSF.BF.B.5

What is the quotient property of logarithms?

• $\log_bx^n=n\log_bx$

• $\log_b\left(\frac{x}{y}\right)=\log_bx\ -\log_by$

• $\log_b\ \left(x\cdot y\right)=\log_bx\ +\ \log_by$

Tags

CCSS.HSF.BF.B.5

Expand the Log:
 $\log_2\left(3x\right)$  

•  $\log_23\ -\ \log_2x$  

•  $\log_23\ +\ \log_2x$  

•  $\log_2x\ -\ \log_23$  

Condense the Log:
 $3\log_23$  

•  $\log_29$  

•  $\log_23$  

•  $\log_218$  

•  $\log_227$  

 $\log\left(\frac{4}{5}\right)$  Expand the Log 

•  $\log4\ +\log5$  

•  $\log\ 20$  

•  $\log4\ -\log5$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Condense the Log
 $\log\ x^3\ +\ \log2x^5$  

•  $\log\ 2+x^8$  

•  $\log\left(\frac{2}{x^2}\right)$  

•  $\log\ 2x^8$  

•  $\log2x^{15}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

 $\log\ x^9\ -\ \log x^3$  Condense the Log

•  $\log x^6$  

•  $\log x^{18}$  

•  $\log x^{12}$  

•  $\log x^3$  

 Evaluate $${\log }_{2}40$$ 

• 0.19

• 1.30

• 5.32

• -1.30

You deposit $3000 in an account that pays 10% annual interest compounded continuously. What is the balance after 10 years?

• $6607.94

• $8154.85

• $7781.23

• $1046.04