3.2 Basic logs

Front

What is the base in the log expression: log₇49 = 2?

Back

7

Front

The graphs of y = 2^x and y = log₂ x reflect about y = x because these two graphs are ______.

Back

inverses.

Front

Evaluate log₃27.

Back

3

Front

Evaluate log₄16.

Back

2

Front

In the expression log_ba = c, what does 'c' represent?

Back

The exponent.

Front

What is the definition of a logarithm?

Back

A logarithm is the power to which a number (the base) must be raised to obtain another number.

Front

If log₁₀100 = x, what is the value of x?

Back

2

Front

What is the relationship between exponential functions and logarithmic functions?

Back

They are inverse functions.

Front

Evaluate log₂8.

Back

3

Front

What is the change of base formula for logarithms?

Back

log_ba = log_ka / log_kb for any base k.