Exponential and Logarithmic Functions Review

Solve for x:

• 13/2
• 4
• -1
• 9/2

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

Solve. Round to the nearest hundredth

2^3x-1 = 50

• 5.64

• 2.21

• 0.90

• 8.67

log₅(4x-7)=log₅(x+5)

• 3
• 12
• 4
• 7

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

What is the equation that represents the exponential function in the image below?

• y=3(½)^x
• y=3(2)^x
• y=(2)^x
• y=2(3)^x

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSF.LE.B.5

What is the range of the function?

• (-4,∞)

• (-∞, -4)

• (-∞, ∞)

• (-∞, 2)

Describe the graph of f(x) = log x changed to

f(x) = 3log(x + 1) - 5

• vertical stretch by 3 and shift right 1 and 5 units down

• vertical stretch by 3 and shift left 1 and 5 units down

• vertical compress by 3 and shift right 1 and 5 units down

• vertical compress by 3 and shift left 1 and 5 units down

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.C.7

Which is the correct expansion of  $\log_4\left(3x\right)^2$  

•  $\frac{1}{2}\left(\log_43-\log_4x\right)$  

•  $2\left(\log_43-\log_4x\right)$  

•  $2\left(\log_43+\log_4x\right)$  

•  $2\log_43+\log_4x$  

What is  $3\ln5\ -\ln2\$  written as a single natural logarithm?

•  $\ln7.5$  

•  $\ln27$  

•  $\ln\left(\frac{5}{2}\right)^3$  

•  $\ln62.5$  

If  $e^{x+1}=13$  , what is the value of x?

•  $\ln\left(13\right)+1$  

•  $\ln\left(13\right)-1$  

•  $\ln13$  

•  $\ln12$  

If  $\ln\left(x-2\right)^2=6$  , what is the value of x?

•  $2+e^3$  

•  $2-e^3$  

•  $2\pm e^3$  

•  $2\pm e^6$