Ch5 Exponential and Logarithmic Functions

Evaluate the expression.
log₇7^-0.89

• 7

• 7^-0.89

• -0.89

• 1

Tags

CCSS.HSF.BF.B.5

Solve for x.
3^x=81

• 3
• 4
• 9
• 27

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve for x.
5^2x=2500

• 250
• 3.398
• 2.431
• 2.83

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x.
log₁₀(x-4)=5

• 10,004
• 100,004
• 1000,004
• 54

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense the expression.
log₃13+log₃y

• log₃(13+y)
• log₃13y
• 3log(13+y)
• 3log13y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Solve the exponential equation algebraically. (Round to three decimal places)
2^x+13=35

• 11
• 4.690
• 4.459
• 2.802

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve the exponential equation algebraically. (Round to three decimal places)
14e^3x+2=560

• 0.563
• 3.689
• 1.442
• 1.896

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

• 4.5
• 0
• 2
• 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.2

Use the properties of logs to expand the expression as a sum, difference, and/or constant multiple of logs (assume all variables are positive)
log₄ 3y 

• log₄ 3 × log₄ y
• log₄ 3 + log₄ y
• log₄ 3 - log₄ y
• log₄ 3 / log₄ y

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Solve the exponential equation algebraically. (Round to three decimal places)
log₁₀x-log₁₀(8-5x)=2

• 1.584
• 1.2
• 1.597
• 2.5

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4