Unit 6: Exponential & Logarithmic Functions Pre-Assessment

Rewrite 3⁴ = 81 in logarithmic form.

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

Simplify the exponential expression.

• 2x⁶y¹²
• 2x⁵y⁷
• 8x⁶y¹²
• 8x⁵y⁷

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

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

Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.

• y=6(0.14)^x
• y=6(1+14)^x
• y=6(1.14)^x
• y=6(0.86)^x

According to exponent rules, when we raise an exponential expression to a power we _______ the exponents.

• add
• subtract
• multiply
• divide

What values of b make an exponential decay function?

• b > 0
• b < 1
• b > 1
• 0 < b < 1

Which expression is equivalent to (16x⁸y¹²)^1/4?

• 2xy³
• 4xy³ 
• 2x²y³
• 4x²y³ 

You invest $400 for 5 years and the interest rate is 4.29% each year. 

• y=400(1 - 0.0429)⁵
• y=400(1+.0429)⁵
• y=400(1+ 4.29)⁵
• y=400e^0.049*5

Expand log₅(u³v⁵)

• 1/2(log₅u+log₅v+log₅uw)
• 5 log₅ u - 15 log₅ v 
• log₅u + log₅v +3 log₅w
• 3 log₅u + 5 log₅v

Write as a single logarithm:

log(30) - log(6)

• -6log(30)

• log(24)

• 24

• log(5)

• 5