6-6 Flashcard

Front

Back

1.5773

Front

If log₅(4x - 7) = log₅(x + 5), what is the value of x?

Back

4

Front

Back

15

Front

Back

3.1018

Front

Back

-6.3257

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the change of base formula for logarithms?

Back

If log_b(a) = c, then a = b^c.

Front

What is the relationship between exponential and logarithmic functions?

Back

Exponential functions can be converted to logarithmic form and vice versa.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.

Front

What does it mean if log_b(x) = 0?

Back

It means that x = 1, since any number raised to the power of 0 is 1.