HPCT Unit 3 Test Review

Solve log(x) + log(x-1) = log(3x+12)

• x = 4

• x = 6

• x = 3

• x = 2

Convert to exponential form. logx (y) = z

• x^z = y
• z^x = y
• y^z = x
• z^y = x

Tags

CCSS.HSF.BF.B.5

Condense

• log₈x³y⁹
• log₈(x³/y⁹)

Solve log₆(x+1) =2 for x.

• 6

• -7

• 35

• 37

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

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

8^a+9 = 76

round to the nearest tenth

• -6.0

• -6.8

• -7.0

• -6.9

Solve for x:

-3e^x + 2 = -12

• 1.20

• 3.14

• 1.54

• No solution

Write the equation for the graph.

• f(x) = log₂ (x-3)

• f(x)= 3 log₂(x)

• f(x) = log₂(x+3)

• f(x) = log₂(x) + 3

Tags

CCSS.HSF-IF.C.7E

Determine the order of transformations

• left 1, reflected over x-axis
• up 1, reflected over y-axis
• right 1, reflected over x-axis
• left 1, reflected over y-axis

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.5

Barium-122 has a half-life of 2 minutes. A fresh sample weighing 80 g was obtained. If it takes 10 minutes to set up an experiment using barium-122, how much barium-122 will be left when the experiment begins?

• 0.25g
• 2.5g
• 25g
• 80g

Tags

CCSS.HSF.LE.A.4