Solving Exponentials

log_x1000=3

• 1

• 10

• 30

• 3

Change to Logarithmic Form:
5³ = 125

• log ₅ 125 = 3

• log ₃ 125 = 5

• log ₅ 3 =125

• log₁₂₅ 3 = 5

Find the time required for an investment of $1000 to grow to $5000 at an interest rate of 8% per year compounded monthly. (round to nearest year)

• 1 year

• 242 years

• 20 years

• 13 years

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

The inverse function of an exponential function is known as a...?

• quadratic function

• square root function

• absolute value function

• logarithmic function

Is the following function exponential growth, exponential decay, linear, or none of the above.
g(x) = 740(.001)^3x

• Exponential growth

• Exponential decay

• Linear

• None of the above

A new savings account is opened with $400 and gains 3% every year. What is the exponential function?

• f(x)=400(1+3)^x

• f(x)=400(1-0.03)^x

• f(x)=400(1+0.03)^x

• f(x)=400(0.03)^x

Is the graph exponential growth or decay?

• Exponential growth

• Exponential decay

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the exponential equation?

• y=8(15,000)^x

• y=15,000(1 + .08)^x

• y=15,000(1 - .08)^x

• y=15,000(0.08)^x

Solve 3³ = 3^{4x + 2}

• x = ¼

• x = -¼

• x = ½

• x = -½