Logarithmic Equations

Solve for x,

log₂(x) = 3

• 8

• 2

• 10

• 5

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Convert the logarithmic equation log₄(16) = 2 into exponential form.

• 4² = 16

• 4³ = 16

• 2⁴ = 16

• log(16) = 4

Tags

CCSS.HSF.BF.B.5

Solve the equation ln(x) = 4 for x.

• x = 4^e

• x = 4

• x = 4^ln

• x = 54.598

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Convert the exponential equation x² = 25 into logarithmic form.

• log₂₅(x) = 2

• log_x(25) = 2

• log_x(2) = 25

• log₂(25) = x

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve the equation for x

log₃(x) + log₃(2) = 4

• x = 20

• x = 36

• x = 6

• x = 40.5

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Solve for x

ln x² = 6

• 6.654

• 36

• 1.792

• 20.086

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve the equation for x.

log₇(x) - log₇(4) = 2

• x = 8

• x = 56

• x = 196

• x = 16

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Solve the equation for x.

ln (x+2) = 2

• x = 5.389

• x = -2

• x = 100

• x = e

Tags

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve the equation for x.

log₃25 = log₃(x+5)

• x = 20

• x = 5

• x = 125

• no solution

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

Solve the equation for x.

5^x+3 = 30

• x = -0.887

• x = 0.887

• x = 3

• x = 2.113

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4