Exponential and Logarithmic Equations

4^{3x + 5} = 16

• -5/3

• -1

• -3/2

• 2/3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

Solve log₂ (2 - 2x) + log₂ (1 - x) = 5

• 4

• 5

• -2

• -3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Solve log₅ (x + 3) = log₅ x + log₅ 3

• 3/2

• 9/2

• 2/3

• No Solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve 2.8^x = 41

• 0.277

• 3.607

• -0.282

• 3.684

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve log₂ (x² - 1) = 3 + log₂ (x - 1)

• 4

• 2

• 1

• 7

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve log₉ (x - 4) + log₉ (x + 1) = log₉ (x + 5) + log₉ (x - 6)

• 17/2

• -9/16

• 13

• -8

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve 4^{2x - 1} = 5^{x + 2}

• 2.167

• 3.959

• 2.008

• 0.253

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve ln (x - 2) - ln (3x) = 0

• -1

• 2

• e

• e⁵

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve 8 ^. 3^x = 5

• 0.506

• 2.337

• -0.516

• -0.428

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve e^2x = -x + 2 using a graphing utility

• 0.273

• 1.727

• 0.448

• 2.448

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.D.11

CCSS.HSF.IF.C.7