Exponential Equations Quiz

Solve: 9^8-x = 27^x-3

• x = 5
• x = -5
• x = 1/5
• x = -1/5

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.4

Solve: 7^-x = 49

• x = 1
• x = -1
• x = 2
• x = -2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

To solve, 16^5x = 64^x+7, what would be the correct set-up?

There is more than one correct answer.

• 4^4(5x)=4^16(x+7)

• 8^2(5x)=8^8(x+7)

• 4^2(5x)=4^3(x+7)

• 2^4(5x)=2^6(x+7)

Rewrite in exponential form:  $\log_{64}32=\frac{5}{6}$  

•  $64^{\frac{5}{6}}=32$  

•  $32^{64}=\frac{5}{6}$  

•  $64^{32}=\frac{5}{6}$  

•  $32^{\frac{5}{6}}=64$  

Tags

CCSS.HSF.BF.B.5

Rewrite in exponential form:  $\log_4\left(\frac{1}{64}\right)=-3$  

•  $4^{-3}=\frac{1}{64}$  

•  $\left(\frac{1}{64}\right)^{-3}=4$  

•  $\left(-3\right)^{\frac{1}{64}}=4$  

•  $\left(-3\right)^4=\frac{1}{64}$  

Tags

CCSS.HSF.BF.B.5

Solve:  $-9\cdot8^{\left(x+3\right)}=-5$  

• -3.5878

• No solution

• -3.2827

• -3.2553

Rewrite in log form:  $7^2=49$  

•  $\log_{49}2=7$  

•  $\log_249=7$  

•  $\log_72=49$  

•  $\log_749=2$  

Tags

CCSS.HSF.BF.B.5

Rewrite in log form:  $8^2=64$  

•  $\log_82=64$  

•  $\log_864=2$  

•  $\log_28=64$  

•  $\log_{64}2=8$  

Tags

CCSS.HSF.BF.B.5

Solve.

9(e^x) - 31 =23

• x = 1.79

• x = 4.21

• x = -3.5

• x = 1.27

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSF.LE.A.4

What type of function is f(x)=2(1/7)^x ?

• Exponential Growth
• Linear
• Exponential Decay
• None of the Abovee

Tags

CCSS.HSF-IF.C.8B