Exponential & Logarithmic Functions

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Tags

CCSS.HSF.BF.B.5

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.HSF.BF.B.5

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.IF.C.8

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

Find the inverse of f(x) = -4x - 12

• f^-1(x) = 4x - 3
• f^-1(x) = -1/4x - 3
• f^-1(x) = 1/4x + 3
• f^-1(x) = -4x - 3

Tags

CCSS.HSF.BF.B.4

The inverse has been reflected over which line?

• y = -x
• y =x
• y = 0
• y = x + 1

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.BF.B.4

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.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.HSA.CED.A.1

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Simplify: $4x^5\cdot6x^{10}$  

•  $24x^{15}$  

•  $10x^{15}$  

•  $\sqrt{24x^{15}}$  

•  $\sqrt{10x^{15}}$  

Tags

CCSS.HSA.APR.A.1

Which expression is NOT equivalent to  $3^8$  ?

•  $\left(3^6\right)\left(3^2\right)$  

•  $\left(3^4\right)^2$  

•  $\left(3^4\right)\left(3^4\right)$  

•  $\left(3^4\right)^4$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Which expression represents the product of  $\left(abc\right)\left(3c\right)$ ?

•  $3abc^3$  

•  $3abc^2$  

•  $4abc^3$  

•  $3c^2$  

Tags

CCSS.HSA.APR.A.1

Simplify:  $\frac{12r^{15}}{2r^3}$  

•  $72r^3$  

•  $72r^{27}$  

•  $6r^3$  

•  $6r^{12}$  

Tags

CCSS.HSA.APR.A.1

CCSS.HSA.APR.D.6

CCSS.HSA.APR.D.7