Exponential and Log Functions

Convert Log₃(x) = 4 to an exponent

• 3^x = 4

• 3⁴ = x

• x³ = 4

• 4^x = 3

Tags

CCSS.HSF.BF.B.5

Convert 16 = 2^x to a Log

• Log₂(x) = 16

• Log₂(16) = x

• Log₁₆(x) = 2

• Log_x(16) = 2

Tags

CCSS.HSF.BF.B.5

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Convert into log form: $e^x=5$  

•  $\ln5=x$  

•  $\log_ex=5$  

•  $\log_xe=5$  

•  $\log e=5$  

Tags

CCSS.HSF.BF.B.5

 $\log_3\left(x\right)=4$  

Solve for x. Enter only numbers in your answer.

Tags

CCSS.HSF.BF.B.5

Evaluate

• 2

• -2

• -1/2

• 1/2

 $Solve\ \log_5\left(3x+1\right)=\ 2$  

• 3

• 25

• 8

• 11/3

Tags

CCSS.HSF.BF.B.5

 $Solve\ 6^x=\ 14$  

•  $\frac{\left(\log\ 7\right)}{\left(\log\ 3\right)}$  

•  $\frac{\left(\log\ 14\right)}{\left(\log\ 6\right)}$  

•  $\log\ \frac{14}{6}$  

•  $\log\ \frac{7}{3}$  

Tags

CCSS.HSF.BF.B.5

• ln(wvu⁵)
• ln(u + v + w⁵)
• ln(uvw⁵)
• ln(uvw)⁵

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)