Solving Equations with Logs and Exponents

log₂(x + 5) = 3

• 3
• 4
• 5
• 6

Tags

CCSS.HSF.BF.B.5

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

• -5, 5
• 5
• -5
• 25

log₂(x + 2) + log₂x  = 3

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

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

• -2/5
• -5/2
• 7/2
• 2/7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

log (x - 1)  - log (x - 2)  = log 5

• 7
• 4/9
• 9/4
• 1/7

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x:
4^x- 5 = 12

• 0.489
• 2.552
• 0.893
• 2.044

Tags

CCSS.HSF.LE.A.4

Solve for x.
e^x+6 + 5 = 1

• -4.614
• -4.236
• No Solution
• -0.334

Solve for x.
6 - e^12x  = 5.2

• -0.019
• -0.102
• No Solution
• 7.777

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

27^2x-1 = 81

• -2/5
• 7/6
• -6
• no solution

(36) 6^-3x-3 = 6^3x

• 2
• -1/6
• -6
• -3