PreCal Unit 5 Retest - Exp/Log

Solve for n:

4⁵ⁿ = 16

• 5

• 3

• 2/5

• 4

Expand: log(3x)²

• 2log(3+x)

• 2log3+logx

• log3+2logx

• 2(log3+logx)

Use multiple log properties to write as a single log:
log₂x -  5log₂y

• log₂(x/y⁵)
• log₂(xy⁵)
• log₂(x/y)⁵
• log₂(x/5y)

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Which is the correct way to rewrite,log₆(x-3)= 2, in order to solve.

• 6² = x-3

• 2⁶ = x - 3

• ln(2) = x-3

• e⁶ = x-3

Tags

CCSS.HSF.BF.B.5

Condense $15\ \log_5a\ +3\ \log_5b$  

•  $15\log_5ab$  

•  $\log_5\left(a^{15}b^3\right)$  

•  $\log_5\left(b^{15}a^3\right)$  

•  $45\log_5\left(ab\right)$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Expand $\log_4\left(x^5y^2\right)$  

•  $10\log_4\left(x\ +y\right)$  1

•  $5\log_4x+2\log_4y$  

•  $5\log_9x+2\log_9y$  

•  $\log_4\left(5x+2y\right)$  

Tags

CCSS.HSF.BF.B.5

Ash has $8,000 in a savings account. The interest rate is 3% compounded once a year.

To the nearest cent, how much will he have in his account in 4 years?

• $9,004.07

• $2,2848.80

• $9,011.94

• $8,242.71

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

• $12,800.00

• $13,629.44

• $17,600.00

• $28,098.56

Tags

CCSS.HSF.BF.A.2

What is the domain?

• (-∞, ∞)
• (0, ∞)
• [1, ∞)
• (1, ∞)

Tags

CCSS.HSF-IF.C.7E

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

Tags

CCSS.HSF-IF.C.7E