Solving Log/Exp Equations & Log Properties

 Expand logarithm

• 6log₈v-2log₈u
• 6log₈u-2log₈v
• 3log₈u-2log₈v
• 6log₈u+2log₈v

Write as a single log: log 12 + 2 log x

• log (12 + 2x)
• log (14x)
• log (12 * 2x)
• log (12x²)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Rewrite as a single log:
4 log g - 2 log h

• log (4g/2h)
• log (g⁴/h²)
• log (g⁴ - h²)
• log (2gh)

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Solve

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Solve

log (x) + log (x) = log (25)

• -5, 5

• 5

• -5

• 25

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

Solve

log₂(x + 2) + log₂x = 3

• -4, 2

• -2, 4

• 2

• 1

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Rewrite as a single log: 4 log g - 2 log h

• log (4g/2h)
• log (g⁴/h²)
• log (g⁴ - h²)
• log (2gh)

Condense:
 log4- logx- log5+log3

• log(20/3x)
• log(12x/5)
• log(12/5x)
• log(5x/12)

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.LE.A.4

What type of function is y = 7(5/4)^x?

• Exponential Growth
• Exponential Decay
• Linear
• None of the above

Tags

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.3

Solve

2³ⁿ = 4

• 2

• 3

• 2/3

• 4