Log Quiz

Write in exponential form.

log₂(¹/₈) = -3

• 2^-3 = ¹/₈

• 2^1/8 = -3

• -3² = ¹/₈

• -3^1/8 = 2

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Evaluate the following logarithm:

log₄16

• 1

• -2

• 2

• ¹/₂

Expand the logarithm expression

log 6x³y

• log 6x³ + log y

• log 6 + log x³ + log y

• 3 log 6 + log x + log y

• log 6 + 3log x + log y

Expand the following:  $\log_5\left(z^8\right)$  

•  $5\log_8\left(z\right)$  

•  $8\log_5\left(z\right)$  

•  $\log_5\left(8z\right)$  

•  $8+\log_5\left(z\right)$  

Condense: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)

Condense:

log₅4 + log₅3

• log₅7

• log₅12

• log₇5

• 3log₅4

Answer explanation

$\log_5\left(4\cdot3\right)$

Condense:

4 log g - 2 log h

• log (4g/2h)

• log (g⁴/h²)

• log (g⁴ - h²)

• log (2gh)