Exponential Equations and Logarithms Quiz

What method can be used to solve an exponential equation when the bases are different?

• Method of logarithms

• Method of common bases

• Method of substitution

• Method of exponents

Which logarithm law allows us to bring the exponent out as a product?

• First logarithm law

• Second logarithm law

• Third logarithm law

• Fourth logarithm law

What is the solution to the equation 4^x = 8 using the method of common bases?

• x = 5

• x = 4

• x = 3

• x = 2

What is the solution to the equation log(8) / log(4)?

• log(6)

• log(4)

• log(8)

• log(2)

What is the solution to the equation 5^x = 18?

• x = 2.50

• x = 1.80

• x = 3.20

• x = 4.10

What is the solution to the equation log(1560) / log(2)?

• x = 5.60

• x = 10.61

• x = 6.90

• x = 8.20

What is the solution to the equation (x + 3) * log(6) = log(50)?

• x = 2.05

• x = 1.23

• x = 0.82

• x = -0.82

What is the solution to the equation (x / 2 - 5) * log(1.03) = log(2)?

• x = 41.72

• x = 31.29

• x = 20.86

• x = 10.43

How many years will it take for the bat population to reach 200 if it is growing at a rate of 3% per year?

• 30 years

• 50 years

• 40 years

• 22 years

How many weeks will it take for the stock price to reach $10 if it is declining at a rate of 5% per week?

• 24 weeks

• 20 weeks

• 28 weeks

• 16 weeks