Logarithm and Exponential Equations/Expressions

Rewrite in exponential form:
log (x) = ¼

• x^1/4 = 1
• 1^x =¼
• 10^1/4 = x
• 10^x = ¼

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:
ln(2) = x

• 2^x = 10
• 10² = x
• e^x = 2
• e² = x

Tags

CCSS.HSF.BF.B.5

Evaluate.
log₃81

• 4
• ¹/₄
• -4
• -¹/₄

Tags

CCSS.HSF.BF.B.5

Write as one logarithm. Simplify, if possible.
log₆3 + log₆2

• 0
• log₆5
• log₆1
• 1

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Rewrite log_pt = m in exponential form.

• p^t = m
• t^m = p
• m^t = p
• p^m = t

Tags

CCSS.HSF.BF.B.5

Condense into a single logarithm.

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense into a single logarithm.

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

Write as a single logarithm

• log xyz³

• log (xy/z³)

• log x + log y + log z³

• log x³y³z³

Solve the equation.

• A
• B
• C
• D

Tags

CCSS.HSA.REI.A.2

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

What is the value of ln(e⁷)

• 2.718...
• 1
• 7
• Does not exist

Tags

CCSS.HSF.BF.B.5