Exponential Equations Different Base

A scientist is studying how bacteria thrive under different conditions of temperature and pressure. The scientist develops bacteria population models for the different conditions, as shown below. The models predict the bacteria population, P, after t hours. - Condition 1: P(t) = 500(0.3)^t - Condition 2: P(t) = 500(1.65)^t - Condition 3: P(t) = 500(0.95)^t - Condition 4: P(t) = 500(0.2)^t Which condition models an exponential growth of the bacteria population over time?

• P(t) = 500(0.3)^t

• P(t) = 500(1.65)^t

• P(t) = 500(0.95)^t

• P(t) = 500(0.2)^t

Given: 3^x = 30. Which of the following expressions is the value of x?

• log_3 30

• log 30 / 3

• sqrt(30)

• 30 / 3

• 10,1329

• 21,2459

• 19,225

• 18,3559

f(x) = 3^{x
Find x if f(x) = 27}

• 1

• 2

• 3

• 4

If log_4 22 = 22, which of the equations below is the exponential equivalent?

• 4^22 = x

• 2^24 = x

• x^4 = 22

• 4^x = 22

Which of the following equations represents an exponential decay?