Logarithm Review-Day 1 and 2 Notes

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

log₅25 = ?

• 2
• 5
• 125

Rewrite 3⁴ = 81 in logarithmic form.

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

Condense: log₂6+log₂3=

• log₂18

• log₂2 = 1

• log₂3

• log₂9

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Condense: log₂x-log₂y-log₂z

• $\log_2\ \frac{xz}{y}$

• $\log_2\ \frac{x}{yz}$

• $\log_2\ xyz$

• $\log_2\ \frac{xy}{z}$

Condense

• A
• B
• C
• D

Condense

• A
• B
• C
• D

Condense

• log xyz³
• log (xy/z³)
• log x + log y + log z³
• log x³y³z³

Write as a single logarithm:

log(30)-log(6)

• -6log(30)

• log(24)

• log(-24)

• log(5)