Test Exponential and Logarithmic Functions

Solve

• A
• B
• C
• D

Rewrite 3⁴ = 81 in logarithmic form.

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

Solve

• A
• B
• C
• D

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Solve

• A
• B
• C
• D

Solve for x.
log₁₀(x-4)=5

• 10,004
• 100,004
• 1000,004
• 54

What indicates growth or decay in f(x)= a⋅b^x

• If b is positive or negative

• If b is between 0 and 1 OR greater than 1

• If a is positive or negative

• If a is between 0 and 1 OR greater than 1

What is the range of this function? 

• (-∞,0)
• (0,∞)
• (-∞,4)
• (4,∞)

What is the x-intercept of the exponential function? 

• (0,1)
• (0,0)
• There is not one

What is the range of the exponential function?

• all real numbers