Solving Logarithmic Equations Challenge

What is the one-to-one property in logarithmic equations?

• If log base B of M equals log base B of N, then M equals B.

• If log base B of M equals log base B of N, then B equals N.

• If log base B of M equals log base B of N, then B equals M.

• If log base B of M equals log base B of N, then M equals N.

What should you do first when solving a logarithmic equation where log equals log?

• Check for extraneous solutions.

• Condense each logarithm.

• Isolate the variable.

• Rewrite the equation in exponential form.

Why can't a logarithm have a negative argument?

• Because logarithms can only have positive arguments.

• Because it would result in a complex number.

• Because it would result in an undefined value.

• Because it would result in a zero value.

Tags

CCSS.HSF.BF.B.5

What is the product property used for in logarithmic equations?

• To add two logarithms together.

• To divide the arguments of two logarithms.

• To subtract one logarithm from another.

• To multiply the arguments of two logarithms.

When solving a quadratic logarithmic equation, what is the first step?

• Set the equation equal to zero.

• Isolate the variable.

• Condense the logarithms.

• Rewrite the equation in exponential form.

What should you do after solving a logarithmic equation to ensure the solution is correct?

• Isolate the variable.

• Check for extraneous solutions.

• Rewrite the equation in exponential form.

• Condense the logarithms.

How do you rewrite a logarithmic equation in exponential form?

• By setting the base to the power of the exponent.

• By setting the base to the power of the result.

• By setting the base to the power of the logarithm.

• By setting the base to the power of the argument.

Tags

CCSS.HSF.BF.B.5

What is the first step when solving a logarithmic equation where a log equals a number?

• Condense and isolate the logarithm.

• Check for extraneous solutions.

• Isolate the variable.

• Rewrite the equation in exponential form.

What is the base of a logarithm if no base is listed?

• Base e

• Base 10

• Base 5

• Base 2

What is the solution to the equation log base 2 of (x - 4) = 6?

• x = 60

• x = 68

• x = 64

• x = 72

Tags

CCSS.HSF.BF.B.5