Logarithms

Front

What does the letter 'h' represent in the logarithmic function y = a*log_b(x-h)+k?

Back

The letter 'h' indicates the horizontal shift of the function, moving it left or right.

Front

What are logarithms and exponentials in relation to each other?

Back

Logarithms and exponentials are inverse functions.

Front

What is the domain of the logarithmic function?

Back

The domain of the logarithmic function is (0, ∞).

Front

What transformation does the function y = log(x+3) represent?

Back

The function y = log(x+3) represents a left shift of 3 units.

Front

If the principal is $5000, the interest rate is 3.75%, and the time is 25 years compounded monthly, what is the future account balance?

Back

The future account balance is $12,749.30.

Front

What is the range of a logarithmic function?

Back

The range of a logarithmic function is (-∞, ∞).

Front

What does the letter 'k' represent in the logarithmic function y = a*log_b(x-h)+k?

Back

The letter 'k' indicates the vertical shift of the function, moving it up or down.

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 given number.

Front

How do you convert a logarithmic equation to an exponential form?

Back

To convert log_b(x) = y to exponential form, use b^y = x.

Front

What is the logarithmic identity for log_b(b) ?

Back

log_b(b) = 1.