AP Precalculus Logarithm

• True, subtraction between two logarithms is division in condensed form.

• True, a logarithm is an exponent. When dividing like bases you subtract exponents therefor dividing logarithms as in this example.

• False, subtraction between two logarithms is division within a single logarithm in condensed form.

Use the change of base formula and your calculator to approximate the log.

• A

• B

• C

• D

Solve for x:

• 1

• 2

• .5

• 4

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

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

log₂32 = 5

• 2^-5 = 32

• 2³² = 5

• 2⁵ = 32

• 32⁵ = 2

Rewrite log_vn = a in exponential form.

• v^a = n

• n^a = v

• vⁿ = a

• aⁿ = v

• x = 2

• x = -2

• y = 2

• y = -2