Exponential and Logarithmic Equations

What is the rate of growth of f(x)=200(1+0.3)^x ?

• 0.3

• 1.3

• -1.3

• 1

Given f(x)=250(1-0.05)^x , what does 250 represent?

• The initial value

• The slope

• The common ratio

• The common difference

Given f(x)=350(1-0.02)^x , find x if f(x)=4200

• 125.4836

• 127.4836

• 129.4836

• 131.4836

Given f(x)=470(1+0.35)^x , find f(x) if x=12.55

• 20313.59

• 20300.59

• 20326.59

• 20352.59

An adult person takes 400 mg of Ibuprofen after taking the second doses the coronavirus vaccine. Each hour, the amount of ibuprofen in the person´s system decreases exponentially by about 29%. Write an exponential function representing the situation.

• f(x)=400(1-0.29)^x

• f(x)=400(0.29)^x

• f(x)=400(1+0.29)^x

• f(x)=1.29(400)^x

Solve for x: 27^x = 81

• x=4/3

• x=3/4

• x=-4/3

• x=-3/4

Solve: 8^2x-5 = 1/4

• x=13/6

• x=6/13

• x=-13/6

• x=-6/13

Solve: 49^5x = 7^2x+1

• x=1/8

• x=-1/8

• x=8

• x=-8

Solve 5^2x+3 = 1/125

• x=-3

• x=3

• x=1/3

• x=-1/3

Which of the following functions shows an initial value of 15 and an increase of 35%?

• y=15(0.35)^x

• y=15(1.35)^x

• y=35(1.15)^x

• y=35(0.15)^x