Solving Exponential & Logarithm Equations

Solve: 7^-x = 49

• 1
• -1
• 2
• -2

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve for r:
3^-3r = 3⁵

• -4
• -5/3
• 2
• 8

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

7ⁿ⁺¹⁰- 8 = 6

• -7.374
• -8.643
• -7.360
• -8.853

Tags

CCSS.7.EE.B.4A

log(x+6) = 1

• 4
• 4.222
• -5
• -9.550

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3
• log ₃ 125 = 5
• log ₅ 3 =125
• log₁₂₅ 3 = 5

Tags

CCSS.HSF.BF.B.5

Condense to a single logarithm.

• ln x⁴/ y

• ln xy⁴

• ln x/ y⁴

• ln x⁴/ y⁴

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Condense.

• log₂x²y¹⁰
• log₂x²+log₂y¹⁰
• log₂x²/y¹⁰
• log₂10xy

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2

Solve for x:
5 e^6x+3 = 0.1

• -1.152
• 0.232
• -3.077
• -0.854

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.CED.A.1

CCSS.HSF.LE.A.4

Expand.

• 1/3 log x + log y + log z
• 1/3 log x + 1/3 log y + 1/3 log z
• 1/3 log x - 1/3 log y - 1/3 log z
• 3 log x + 3 log y + 3 log z

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.B.3

CCSS.HSA.SSE.A.2