Introduction to Logarithms

Rewrite the following equation in exponential form:
 $\log_636=2$  

•  $36^2=6$  

•  $2^6=36$  

•  $6^2=36$  

•  $2^{36}=6$  

Tags

CCSS.HSF.BF.B.5

Rewrite the following equation in exponential form:
 $\log_381=4$  

•  $4^3=81$  

•  $3^4=81$  

•  $81^3=4$  

•  $4^{81}=3$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in exponential form:
 $\log_{289}17=\frac{1}{2}$  

•  $17^{\frac{1}{2}}=289$  

•  $\frac{1}{2}^{17}=289$  

•  $289^{17}=\frac{1}{2}$  

•  $289^{\frac{1}{2}}=17$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form:
 $64^{\frac{1}{2}}=8$  

•  $\log_{64}8=\frac{1}{2}$  

•  $\log_864=\frac{1}{2}$  

•  $\log_{64}\ \frac{1}{2}=8$  

•  $\log_8\ \frac{1}{2}=64$  

Tags

CCSS.HSF.BF.B.5

Rewrite the equation in logarithmic form:
 $12^2=144$  

•  $\log_{12}2=144$  

•  $\log_2144=12$  

•  $\log_{12}144=2$  

•  $\log_{144}12=2$  

Tags

CCSS.HSF.BF.B.5

Evaluate the following expression:  $\log_464$  

• 3

• 16

• 8

• 2

Evaluate the following expression:
 $\log_{343}7$  

• 3

•  $\frac{1}{3}$  

•  $\frac{1}{7}$  

• 7

Simplify the exponential expression:

• 10x^-2
• 2x²
• 2x¹²
• 10x¹²

Tags

CCSS.HSA.APR.A.1

Evaluate: $\log1000$  

• 10

• 3

• 2

• 1

Simplify the following expression using the properties of logarithms:  $\log_4\left(x^3y^5\right)$  

•  $5\log_4x\ +3\log_4y$  

•  $3\log_4x\ -\ 5\log_4y$  

•  $3\log_4x+5\log_4y$  

•  $5\log_4x-3\log_4y$