inverses of logarithms

Front

Logarithms are the inverse of ___________.

Back

Exponential

Front

Find the inverse of y=9^x.

Back

y=log_9 x

Front

How are exponentials and logarithms related?

Back

They're inverses.

Front

When you want to find the inverse of a function, you first __________.

Back

Switch x and y.

Front

What is the logarithmic form of the equation 2^y = x?

Back

y = log_2 x

Front

If log_b a = c, what is the equivalent exponential form?

Back

b^c = a

Front

What is the base of the common logarithm?

Back

10

Front

What is the base of the natural logarithm?

Back

e (approximately 2.718)

Front

If log_10 100 = x, what is the value of x?

Back

2

Front

What is the product rule for logarithms?

Back

log_b (xy) = log_b x + log_b y