College Alg Exam 3 Review

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Write as one logarithm. Simplify, if possible.
log₃9 + log₃27

• -1
• 5
• 4
• 1

Write in exponential form.
log₂(¹/₈) = -3

• 2^-3 = ¹/₈
• 2^1/8 = -3
• -3² = ¹/₈
• -3^1/8 = 2

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.
ln2x - ln41 = 2

• x = 0.36
• x = 151.48
• x = 41
• None of these are solutions

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

Sovle for x:

5^{-3x - 1} = 25

• x = -1

• x = -4

• x = -3

• x = 1

Expand the logarithm.

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense logarithm

• log₈(x⁶)/log₈(y³)

• log₈(x⁶/y³)

• log₈(x/y³)

• log₈(x⁶y³)