Solving Exponential Equations and Logs

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x

• y=6(1+14)^x

• y=6(1.14)^x

• y=6(0.86)^x

Tags

CCSS.HSF.LE.A.2

Evaluate: log₉3

• ½

• -½

• 2

• -2

Evaluate log 0.001

• -2

• -3

• 1/3

• 10

Change the following into exponential form: log _y x = r

• y ^x = r

• x ^y = r

• y ^r= x

• r ^y = x

Tags

CCSS.HSF.BF.B.5

Solve the following equation:
4 + 3 log (2x) = 16

• x = 3000

• x = 0

• x = 5000

• x = 1,000,000

Tags

CCSS.HSF.BF.B.5

Solve for n:

2^-2n = 64

• n = -1

• n = -7

• n = 5

• n = -3

Solve log₂(x+3)=5

• 35

• 29

• 7

• apples

Tags

CCSS.HSF.BF.B.5

Solve the following for 'x';

log₆(2x - 2) = log₆(5x - 8)

• x = 3

• x = 2

• x = -1

• No Solution

Solve by converting to the exponential form:

log₂(x + 5) = 3

• 3

• 4

• 5

• 6

Tags

CCSS.HSF.BF.B.5

log₈(5x-6) = log₈(4x-3)

• x = 3

• No Solution

• x = 9

• x = 1