Solving Exponential Equations with Logarithms

What is the primary method introduced for solving exponential equations?

• Using quadratic equations

• Using square roots

• Using logarithms

• Using common bases

What is the result of solving 4 to the power of x equals 8 using logarithms?

• x = 2.5

• x = 2

• x = 1.5

• x = 1

How do you solve 5 to the power of x equals 18 using logarithms?

• x = log(18) / log(5)

• x = log(5) * log(18)

• x = log(5) / log(18)

• x = log(18) * log(5)

What is the approximate value of x when solving 5 to the power of x equals 18 using logarithms?

• x ≈ 1.49

• x ≈ 2.58

• x ≈ 1.80

• x ≈ 2.21

What is the first step in solving more complicated exponential equations using logarithms?

• Divide both sides by the base

• Add the base to both sides

• Take the logarithm of both sides

• Multiply both sides by the base

What is the correct way to solve an equation using logarithms when the equation involves a product?

• Subtract the product first

• Multiply by the product first

• Take the logarithm directly

• Divide by the product first

How many years will it take for a bat population of 104 to reach 200, growing at 3% per year?

• 24 years

• 22 years

• 20 years

• 26 years

What is the final form of the solution when solving exponential equations and leaving the answer in terms of logarithms?

• x = the result in decimal form

• x = log base of the equation

• x = the equation divided by log base

• x = log base of the result

What is the base used in the logarithm when solving 2 to the power of x equals 5 and leaving the answer in terms of logarithms?

• Base 5

• Base 3

• Base 2

• Base 10

When solving an exponential equation using logarithms, what is the significance of the base in the final answer?

• It determines the rate of growth

• It is the inverse of the exponent

• It is used to calculate the logarithm

• It indicates the original base of the exponential equation