Exponentials, Logarithms, and Probability

Convert log(x)=5 to exponential form

• ⁵=x

• ^x=5

• ⁵=10

• ⁵=x

Convert log₁₂(x)=2 to exponential form.

• 12²=x

• 12^x=2

• x²=12

• 2^x=12

Find the inverse of the function f(x)=log₃(x)+5

• f^-1(x)=3^x-5

• f^-1(x)=3^(x+5)

• f^-1(x)=3^(x-5)

• f^-1(x)=3^x+5

Find the inverse of f(x)=log₄(x+4)

• f^-1(x)=4^(x-4)

• f^-1(x)=4^x+4

• f^-1(x)=4^x-4

• f^-1(x)=4^x

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

Solve for x:

• 1

• 2

• .5

• 4

• x = 2

• x = -2

• y = 2

• y = -2

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

Which equation matches the graph?

• y = 2^x+3

• y = 2^x + 3

• y = 2^x

• y = 2^-x

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e