Logs of any base

The natural logarithm has what base?

• 10

• 0

• e

• 1

Tags

CCSS.HSF.BF.B.5

evaluate: ln 1 =

• e

• 0

• 1/e

• 1

Tags

CCSS.HSF.BF.B.5

Evaluate the following logarithm:

log₄16

• 1

• -2

• 2

• ¹/₂

Simplify   ln e²

• e²
• 2 ln e
• 1
• 2

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Simplify e^ln(x)

• 0
• 1
• x
• 8

 Convert to exponential form. $\log_42x=3$  

•  $4^3=2x$  

•  $4^{2x}=3$  

•  $3^4=2x$  

•  $3^{2x}=4$  

Tags

CCSS.HSF.BF.B.5

Convert to logarithmic form.

 $5^{4x-1}=350$  

•  $\log_5\left(4x-1\right)=350$  

•  $\log_{350}5=4x-1$  

•  $\log_5350=4x-1$  

•  $\log_{350}\left(4x-1\right)=5$  

Tags

CCSS.HSF.BF.B.5

Evaluate the logarithm using the change of base formula.    

 $\log_2256=x$  

• x = 6

• x = 8

• x = 9.12

• x = 9