Math 3 - 2nd Semester Logs/Exp. Review

Write in logarithmic form.
5² = 25

• log₅2 = 25
• log₂25 = 5
• log₂₅5 = 2
• log₅25 = 2

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

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

Evaluate:
log₄16

• 2
• 4
• 1/2
• -2

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0
• 1
• 2
• 3

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

4^(x-2)= 64^(x+1)

• -2/5
• -5/2
• 7/2
• 2/7

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Condense into a single logarithm.

6 log x

• log 6x

• log x/6

• log x+6

• log x⁶

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.HSA.REI.A.1

CCSS.HSF.BF.B.5

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

log (x - 1) + log (x - 2) = log 6

• 4 and -1

• -1

• 4

• 4.5