Natural Logarithms

The natural logarithm has what base?

• 10
• 0
• e
• -e

Tags

CCSS.HSF.BF.B.5

Expand ln xy²z³

• 6(lnx + lny - lnz)
• lnx + 2lny - 3lnz
• lnx + (1/2)lny + (1/3)lnz
• lnx + 2lny + 3lnz

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Rewrite in exponential form:
ln(2) = x

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

Tags

CCSS.HSF.BF.B.5

What is the value of ln(e⁷)

• 2.718...
• 1
• 7
• Does not exist

Tags

CCSS.HSF.BF.B.5

Solve the following equation for x.  Round your solution to two decimal places.
ln3x + ln2x = 3

• x = 12.91
• x = 4.02
• x = 3.35
• x = 1.83

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

CCSS.HSA.REI.A.1

CCSS.HSA.CED.A.1

Simplify e^ln(x)

• 0
• 1
• x
• 8

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Which of the following is the value of x given;
e^(x + 6) = 12

• x = ln 6
• x = -6 + ln12
• x = ln72
• x = ln(-2)

Tags

CCSS.HSF.BF.B.5

Solve the following equation.  Round your solution to two decimal places.
4 - 3 ln(2x + 10) = 12

• x = 2.20
• x = 1.68
• x = -5.00
• x = -4.97

Tags

CCSS.HSF.BF.B.5

CCSS.HSA.REI.A.1

Find the value for x to the third decimal place: ln x = 5

• 148.413
• 13.591
• 100000
• 1.610

Tags

CCSS.HSF.BF.B.5

What is the value of ln(e⁷)

• 2.718...
• 1
• 7
• Does not exist