Logarithms and exponentials

Convert 6^(x+2)=216 to logarithmic form

• log₂₁₆(x+2)=6
• log₆(x+2)=216
• log₆(216)=x+2
• log_(x+2)(216)=6

Tags

CCSS.HSF.BF.B.5

Convert log(x)=y+2 to exponential form.

• 10^(y+2)=x
• 1^x=y+2
• 10^x=y+2
• x^(y+2)=10

Tags

CCSS.HSF.BF.B.5

Solve for x.
log_x(64)=3

• x=8
• x=4
• x=3
• x=64

Tags

CCSS.HSF.BF.B.5

Determine the transformations. y = - log₃ (x+1)

• left 1, reflected over x-axis

• up 1, reflected over y-axis

• right 1, reflected over x-axis

• left 1, reflected over y-axis

log₈(4x+4)=2

• 15

• 12

• 10

• 3

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.BF.B.5

lnx = -3

• 8.1548

• -8.1548

• 0.0498

• -0.0498

Tags

CCSS.HSF.BF.B.5

Solve for x:
4^2x + 1 = 17

• x = 1
• x = -1
• x = 2
• x = -2

Tags

CCSS.7.EE.B.4A

Find the time required for an investment of $1000 to grow to $5000 at an interest rate of 8% per year compounded monthly. (round to nearest year)

• 1 year
• 242 years
• 20 years
• 13 years

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Find the asymptote for the following.

• x = -1
• x = 1
• y = 5
• y = -5

Tags

CCSS.HSF-IF.C.7E

Write log_b(x/y) as two logs

• log_bx-log_by
• log_bx+log_by
• log_bx*log_by
• log_bx/log_by

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8