Solving Logarithmic and Exponential Equations

Evaluate. 

• A
• B
• C
• D

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Expand the logarithm
log₁₀ 7x

• (log₁₀ 7)(log₁₀ x)
• log₁₀ 7 + log₁₀ x
• 7log₁₀ x
• xlog₁₀ 7

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Condense

• A
• B
• C
• D

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

CCSS.HSF.LE.A.4

Solve:
log x + log 8 = 2 

• 10
• 12.5
• 15
• 17.5

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2 ;  -4 is extraneous
• 1 ;  -3 is extraneous

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

CCSS.HSF.BF.B.5

Solve for x.
Log₃(x-5)=2

• 25
• 5
• 130
• 14

Tags

CCSS.HSF.BF.B.5

Solve. 
4^(6x-12)=7

• 1.40
• 2.23
• 13.40
• 3

Tags

CCSS.HSF.LE.A.4

Solve.

2(16^x+6) - 8 = 35

• -4.67

• -4.89

• -2.93

• -2.95

Tags

CCSS.HSF.LE.A.4

Solve:

log (x - 1) - log (x - 2) = log 5

• 7

• 4/9

• 9/4

• 1/7

Solve:

log₅(-60+n)=log₅(n²+17n)

• No Solution

• -10 and -6

• -10

• -6