Logarithmic Quiz over Notes 1-4

The base of the common log,

 $\log_{ }x$  is:

• 10

• e

• 5

• 100

The base of the natural log,

 $\ln x$  is:

• 10

• e

• 5

• 100

Convert the exponential expression into an equivalent logarithmic expression:

 $3^x=7$  

•  $\log_37=x$  

•  $\log_3x=7$  

•  $\log_73=x$  

•  $\log_x7=3$  

Convert the exponential expression into an equivalent logarithmic expression:

 $2^{x-2}=11$  

•  $\log_211=x-2$  

•  $\log_2\left(x-2\right)=11$  

•  $\log_{11}2=x-2$  

•  $\log_{x-2}11=2$  

Convert the logarithmic expression into an exponential expression:

 $\log_34x=7$  

•  $3^7=4x$  

•  $3^{4x}=7$  

•  $\left(4x\right)^7=3$  

•  $7^3=4x$  

Convert the logarithmic expression into an exponential expression:

 $\log\left(2x-3\right)=2$  

•  $10^2=2x-3$  

•  $2^{10}=2x-3$  

•  $10^{2x-3}=2$  

•  $\left(2x-3\right)^2=10$  

Convert the logarithmic expression into an exponential expression:

 $\ln\left(x+4\right)=7$  

•  $e^7=x+4$  

•  $e^{x+4}=7$  

•  $\left(x+4\right)^e=7$  

•  $7^e=x+4$  

What is the domain?

• (-∞, ∞)
• (0, ∞)
• [1, ∞)
• (1, ∞)

Match the graph with its equation

• y = log₆(-x) + 1
• y = log₆(x − 2) + 1
• y = log₆(x + 2) - 1
• y = log(x-8) + 1

Match the graph with its equation

• y = log₅ (x + 1) + 1 
• y = log₅ (x - 1) + 1 
• y = log₅ (x²) + 1 
• y = log₅ (x)-1