Solving Exponential Equations Using Logarithms

What is the key logarithm law used to solve exponential equations?

• Second logarithm law

• First logarithm law

• Third logarithm law

• Fourth logarithm law

How do you solve 4 to the power of x equals 8 using logarithms?

• By taking the log of both sides

• Using the first logarithm law

• By converting to a common base

• By graphing the equation

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

• 1.50

• 2.00

• 1.80

• 2.50

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

• 20 years

• 30 years

• 25 years

• 22 years

How many weeks will it take for a stock price to decline from $22.50 to $10 if it decreases at a rate of 5% per week?

• 18 weeks

• 16 weeks

• 14 weeks

• 12 weeks

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

• A numerical value

• A fraction

• A logarithm with the same base as the exponential equation

• A square root

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

• Base 5

• Base 10

• Base 2

• Base 3

When solving for x in 5 to the power of x divided by 3 equals 417, what operation is performed first?

• Division

• Multiplication

• Subtraction

• Addition