review Unit 6 Logarithms

Rewrite log₂8 = 3 in exponential form/

• 2⁸ = 3
• 2³ = 8
• 3² = 8
• 8³ = 2

Rewrite as an exponential: log₂8 = 3

• 3² = 8

• 2³ = 8

• 2⁸ = 3

• 8³ = 2

Rewrite as a log: y = 7^x

• log₇(x) = y

• log_y(7) = x

• log_x(y) = 7

• log₇(y) = x

Solve for x:

ln(4)=x Hint: type directly into DESMOS or a calculator

• 16

• 10

• 2.7183

• 1.37

Solve for x:

log₄(64)=x. Hint: Use the Change of Base formula

• 16

• 10

• 3

• 8

Rewrite in logarithmic form:

6² = 36

• log₆ 2 = 36

• log₆ 36 = 2

• ln 36 = 2

• 6³⁶ = 2

Rewrite in logarithmic form:

5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

Rewrite in logarithmic form:

3⁴ = 81

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Expand: log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

Expand: log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2