Solving Exponential Equations and Inequalities

Solve the exponential equation:

• -11/4

• 6

• 9/4

• 8

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

81^3-x = (1/3)^5x-6

• 6

• -6

• 9/2

• 3/2

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.A.4

Solve for x:

(1/8)^x = 2³

• x=−3

• x=3

• x=−1

• x=1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x

• 1/4

• 5

• 1

• No solution

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

32^3x-4 > 128^4x+3

• x < -41/13

• x < -13/41

• x > -41/13

• x < -41

Tags

CCSS.HSF.LE.A.4

1/81 < 9^2x-4

• x < 1

• x > 9

• x > 1

• x < -1

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

10^4x+1 > 100^{x - 2}

• x > 10

• x > -2/5

• x < -5/2

• x > -5/2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

Solve for v:

2^{-v - 3} = 2

• 1

• 6

• -8

• -4

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

125^{3x - 4} = 25^4x+2

• 16

• 8

• 6

• 10

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

(1/16)^{3x - 4} < 64 ^{x - 1}

• x > 11/9

• x < 11/9

• x > -11/9

• x < -11/9

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4