4/5/2023 Solving Logarithmic Eqs wth Two Logs

A logarithm is the inverse of what?

• an exponential

• a quadratic

• an equation

• multiplication

A logarithm without a base showing is called what?

(Example: log 100 = 2)

• common logarithm

• natural logarithm

• a messed up logarithm

• a normal logarithm

A logarithm without a base showing has a base of what?

(Example: log 100 = 2)

• 1

• 10

• 2

• 100

What is the part of the logarithm in green below called?

(Example: log₅(x-3) = 2)

• answer

• base

• argument

• logarithm

What is the part of the logarithm in blue below called?

(Example: log₉100 = x)

• logarithm

• base

• argument

• answer

When you have ONE logarithm in an equation, you must do what to solve the problem?

• Add another logarithm in.

• Make sure the base is 10.

• Convert to an exponential.

• Guess the answer.

When you have TWO logarithm in an equation, one on each side, you must do what to solve the problem?

• Add another logarithm in.

• Condense the logarithms

• Convert to an exponential.

• Set the arguments equal to each other.

Solve the logarithmic equation below. (Type your answer as just a number. Use / for fractions.)

log (10 − 4x) = log (10 − 3x)

Solve the logarithmic equation below. (Type your answer as just a number. Use / for fractions.)

log 5x = log (2x + 9)

Solve the logarithmic equation below. (Type your answer as just a number. Use / for fractions.)

log (4p − 2) = log (−5p + 5)