Exploring Logarithmic Equations

What is the result of 3 to the power of x equals 3 to the power of 4?

• x = 4

• x = 3

• x = 0

• x = 12

If log base 8 of x equals log base 8 of 4, what is x?

• 2

• 16

• 4

• 8

When solving log base 3 of something equals log base 3 of something else, what should you do?

• Combine the logs

• Multiply the logs

• Subtract the bases

• Ignore the logs and set the insides equal

What must be checked after solving a logarithmic equation to ensure the solution is valid?

• If the solution is an integer

• If the solution can be plugged into the original equation

• If the solution is positive

• If the solution is a prime number

What does a negative solution in a logarithmic equation indicate?

• The solution is always valid

• The solution is extraneous

• The solution needs to be squared

• The solution is the only possible answer

How do you combine logs with an addition sign between them?

• By subtracting the bases

• By dividing the insides

• By multiplying the insides

• By adding the exponents

What is the solution to 3x equals 9?

• x = 3

• x = 6

• x = 9

• x = 12

What is the result of combining logs when there is a subtraction sign between them?

• Subtraction of the exponents

• Addition of the bases

• Multiplication of the insides

• Division of the insides

What should you do when faced with multiple logs in an equation?

• Combine them into a single log

• Ignore the logs and focus on the coefficients

• Solve each log separately

• Convert the logs into exponents

What is the final step in verifying a solution to a logarithmic equation?

• Checking if the solution is greater than one

• Ensuring the solution does not result in a negative inside the log

• Adding the solution to the base of the log

• Multiplying the solution by the base of the log