Rewriting Exponentials and Logarithms

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

log₅25 = ?

• 2

• 5

• 125

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Is the following graph an exponential growth or decay?

• Exponential Growth 

• Exponential Decay 

• None 

The natural logarithm has what base?

• 10

• 0

• e

• -e

Evaluate:
log₄16

• 2

• 4

• 1/2

• -2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Solve for x
5^x = 17

• x = log₁₇5

• x = log 5 + log 17

• x = log₅17

• x = (log 5)/(log 17)

Write in logarithmic form.
2^-4 = ¹/₁₆

• log₂(¹/₁₆) = -4

• log_-4(¹/₁₆) = 2

• log _-4 2 = ¹/₁₆

• log₂(-4) = ¹/₁₆