Solve Exponential and Log Functions

Write log_b(x/y) as two logs

• log_bx-log_by

• log_bx+log_by

• log_bx*log_by

• log_bx/log_by

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81

• log₈₁3 = 4

• log₃81 = 4

• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

What is the domain and range of this graph?

• D: all real numbers
  R: all real numbers

• D: all real numbers
  R: y ≥ 0

• D: x ≥ 2
  R: y ≥ 3

• D: x ≤ 2
  R: y ≤ 3

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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:  7ⁿ⁺¹⁰−8 = 6

• -7.374

• -7.360

• -8.644
  

• -8.853

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

The inverse has been reflected over which line?

• y = -x

• y =x

• y = 0

• y = x + 1

Tags

CCSS.HSF-BF.B.4B

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

Condense

• A

• B

• C

• D

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)