Logs and Exponential Form

log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Logarithms are the inverse of ___________.

• Trees

• Quadratics

• Square

• Exponential

Write in exponential form

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

If f(x) = 2e^x , then what is the f(0)?

• -1

• 1/2

• e

• 2

Answer explanation

Any number raised to the power of 0 is equal to 1.

Therefore, e⁰ = 1.

And 2 • e⁰ = 2 • 1

Logarithmic form is the inverse of exponential form.

• True

• False

The exponent to which a base must be raised to obtain a given value.

• Power

• Subscript

• Logarithm

• Asymptote

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

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

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