Natural Logarithms

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

• 148.413
• 13.591
• 100000
• 1.610

Expand ln xy²z³

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

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

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.HSA.CED.A.1

CCSS.HSA.REI.A.1

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

CCSS.HSF.LE.A.4

Solve for x:
5 e^6x+3 = 0.1

• -1.152
• 0.232
• -3.077
• -0.854

Tags

CCSS.HSF.LE.A.4

Solve 5e^{3x - 2} + 15 = 35

• 1.13
• 1.29
• 1.10
• 0.87

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Simplify the following to a single natural logarithm;
ln(2x) + ln(y) - ln(z)

• A
• B
• C
• D

Solve the following equation.  Round your answer to two decimal places;
5 ln(x) = 7

• x = 4.06
• x = 2.04
• No solution
• None of the above

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

CCSS.HSF.LE.A.4

Simplify e^ln(x)

• 0
• 1
• x
• 8

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8