Solving Using Exponents and Logarithms

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Solve for x.
3^x = 27

• 2

• 4

• 3

• 5

State the property (s) used to simplify the expression

• Product Property

• Quotient Property

• Power Property

• Product and Power Property

State the property (s) used to simplify the expression log₄20 - 3log₄x = log₄(20/x³)

• Power Property

• Quotient Property

• Quotient and Power Property

• Product and Power Property

Write the logarithm expression as a single logarithm

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Write the logarithm expression as a single logarithm

log₆25 - log₆5

• log₆125

• log₅20

• log₆5

• log₆30

Write the logarithm expression as a single logarithm

2log 4 + log 2

• log 8

• log 16

• log 32

• log 8²

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

When you have a log expression with a number in front of it, we really need to ___________ .

• make the number an exponent at the end of the log expression.

• multiply it with the log expression.

• add it to the log expression.

• subtract it from the log expression.

Re-Write the Logarithm Equation into Exponential Form
log_hw = d

• w = h^d

• w^d = h

• h = w^d

• h^w = d