Logarithmic and Exponential Quiz Review

Rewrite log₂8 = 3 in exponential form

• 2⁸ = 3

• 2³ = 8

• 3² = 8

• 8³ = 2

Rewrite log_x95 = 2.3

• x^2.3 = 95

• 95^2.3 = x

• 2.3⁹⁵ = x

• x⁹⁵ = 2.3

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3
• log ₃ 125 = 5
• log ₅ 3 =125
• log₁₂₅ 3 = 5

Convert 16 = 2^x to a Log

• Log₂(x) = 16

• Log₂(16) = x

• Log₁₆(x) = 2

• Log_x(16) = 2

log(4x)

• log4-logx

• log4+logx

• 4logx

• xlog4

log(xy²)

• logx+2logy

• logx+logy²

• logx-2logy

• logx+logy+log2

• logx+logy

• xlogy

• log(x-y)

• logx-logy

• logm-log3-logn

• 3logm+logn

• 3logm-logn

• 3log(m-n)

• ln(wvu⁵)
• ln(u + v + w⁵)
• ln(uvw⁵)
• ln(uvw)⁵

Condense: log16 + log2 - log8

• log4
• log8
• log10
• log24