Log and Exponential Functions Quiz Review

Solve the following equation for x:

log₂(2x - 5) = 6

• 64

• 17/2

• 11/2

• 69/2

Sally invested $8000 compounded continuously at an 8.4% interest rate, how much time will it take to reach $42,000. Round to the nearest hundredth.

• 19.74 years

• 20 years

• 0.14 years

• 11.77 years

Convert 3^x = 12 to the equivalent log form.

• 3¹² = x

• log_x 3 = 12

• log₃ x = 12

• log₃ 12 = x

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Convert 3^x = 12 to the equivalent log form.

• 3¹² = x

• log_x 3 = 12

• log₃ x = 12

• log₃ 12 = x

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CCSS.HSF.BF.B.5

Convert ln x = 80 to exponential form.

• ln 80 = x

• 80e = x

• ln_e = x

• e⁸⁰ = x

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Write 10⁴= 10000 in logarithmic form.

• log₁₀ 4 = 10000
• log₁₀₀₀₀ 4 = 10
• log₁₀ 10000 = 4
• log₄ 10000 = 10

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Expand: log₅8x

• xlog₅8

• log₅8 + log₅x

• log₅8 - log₅x

• 8log₅x

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CCSS.HSF.IF.C.8

Condense: log6 + 2logy - 5logx

• log6y/x

• log6/y²x⁵

• log6y²x⁵

• log6y²/x⁵

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Solve for x:

• No Solution
• 10
• 5
• 19/2

Solve for x:

• 6
• -6
• -6,6
• No solution

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