Exponential and Logarithmic

Use multiple log properties to write as a sum or difference of two logs: log(4x³) 

• log 4 + 3log x

• 3log 4 + 3log x

• 3log 4 + log x

• log 12 + log x

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

• log₂(x/y⁵)

• log₂(xy⁵)

• log₂(x/y)⁵

• log₂(x/5y)

Solve for x:  log₆x + log₆(x-5) = 2

• √7

• 9

• 4

• none of these

Solve:  7ⁿ⁺¹⁰−8 = 6

• -7.374

• -7.360

• -8.644
  

• -8.853

Solve the following for the unknown value of x.  Round your solution to two decimal places. 
5 ln (3x - 2) = 15

• x = 1.24

• x = 7.36

• x = 217,935.16

• x = 6.03

Tags

CCSS.HSF.BF.B.5

Suppose a culture of bacteria begins with 500 cells and dies by 30% each year. Write an equation that represents this situation.

• y = 500(0.7)ⁿ

• y = 500(1.3)ⁿ

• y = 500(1.7)ⁿ

• y = 500(1.13)ⁿ

Tags

CCSS.HSF.LE.A.2

b^k = m

• log _b m = k

• log _m k = b

• log _b k = m

• log _k m = b

Tags

CCSS.HSF.BF.B.5

5³ = 125

• log ₅ 125 = 3

• log ₃ 5 = 125

• log ₁₂₅ 3 = 5

• log ₅ 3 = 125

Tags

CCSS.HSF.BF.B.5

16 = 4²

• log ₄ 2 = 16

• log ₁₆ 4 = 2

• log ₂ 16 = 4

• log ₄ 16 = 2

Tags

CCSS.HSF.BF.B.5