Logarithmic function day 1

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

log₅25 = ?

• 2
• 5
• 125
• 10

Write the exponential equation as a logarithm
6³=216

• log₆(3) = 216
• log₃(6) = 216
• log₆(216)=3
• log₂₁₆(6)=3

Rewrite as an exponential:  $\log_7\left(\frac{1}{49}\right)=-2$  

•  $7^{\frac{1}{49}}=-2$  

•  $\left(\frac{1}{49}\right)^{-2}=7$  

•  $7^{-2}=\frac{1}{49}$  

•  $\left(-2\right)^7=\frac{1}{49}$  

What is the base for the following log:

y = log (x)

• 1

• 0

• 10

• 2

Evaluate log₇ 343

• 3
• 49
• 7
• 1

Logarithmic functions are the inverse of...

• Linear Functions
• Exponential Functions 
• Quadratic Functions 
• Polynomial Functions 

Rewrite log₂8 = 3 in exponential form.

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

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

Write the equation in logarithmic form:

 $11^2=121$  

•  $\log_{11}121$  

•  $11=\log_2121$  

•  $2=\log_{11}121$  

•  $11^2=121$