Exponential Equations

Solve: 2^x = 4^x+1

• -2

• 2

• -3

• 3

Solve for n:  25^n-4 = 5³ⁿ⁺¹

• n=7

• n=-9

• n=8

• n=1

Solve: 9^8-x = 27^x-3

• x = 5

• x = -5

• x = 1/5

• x = -1/5

Find the exponential equation that represents the table.

• y = 2(3)^x

• y = 3 + (3)^x

• y = 3(2)^x

• y = 6(2)^x

The original value of a painting is $1400, and the value increases by 9% each year. Write an exponential growth function to model this situation.

• y=1400(1.09)^x

• y=1.09(1400)^x

• y=1400(.91)^x

• y=1.09^x

Classify the following graph.

• Exponential Growth

• Exponential Decay

• Logarithmic

What is the asymptote of the parent function y=2^x?

• x=0

• y=0

• x=2

• y=2

James' 70 in. giant peach doubles in size every week. Write an expression that would represent how big the peach is after 5 weeks.

• 70(2)³⁵

• 70(2)⁵

• 2(70)⁵

• 5(70)²

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x

• y=30(5000)^x

• y=5000(1.3)^x

• y=5000x^x

There were 417 cell phones sold at an electronics store in January. Since then, cell phone sales at this store have increased at a rate of 3.75% per month. At this rate of growth, which function can be used to determine the monthly cell phone sales x months after January?

• f(x) = 417(3.75)^x

• f(x) = 417(0.0375)^x

• f(x) = 417(1.0375)^x

• f(x) = 417(1.375)^x