Exponential vs Logarithmic

Rewrite the following exponential form into its logarithmic form:

• Log_M X = K

• Log_X K = M

• Log_K X = M

• Log_K M = X

Rewrite the logarithmic function into its expoential form:

• S^T = F

• T^F = S

• F^T = S

• S^F = T

Expand the Log!

Log_x (F³G⁴D²)²

• 2 [3Log_x F + 4Log_x G + 2Log_x D]

• 2 [3Log_x F - 4Log_x G - 2Log_x D]

• 2 [3Log_x F / (4Log_x G * 2Log_x D)]

• 2 [3Log_x FGD]

Which of the following is an exponential decay model?

• y = 3 * (1/2)^x

• y = 1/2 * (3)^x

• y = -2 * (2)^x

• y = -3 * (3/2)^x

Solve for x:

• 1

• 2

• .5

• 4

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

Logarithmic functions are the inverse of...

• Linear Functions

• Exponential Functions 

• Quadratic Functions 

• Polynomial Functions 

Is this exponential growth or decay?

• Growth

• Decay

Select the correct function for the graph.

Which function has a horizontal asymptote?

• exponential

• logarithm

• both

• neither