Log and Exponential Basics

Front

What type of function is f(x)=2(1/7)^x?

Back

Exponential Decay

Front

What is log_a a equivalent to?

Back

1

Front

Change to Exponential Form: log_6 36 = 2

Back

6^2 = 36

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

Front

What relationship is demonstrated by this table of values?

Back

Exponential

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

What is the definition of an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.

Front

What is the inverse of an exponential function?

Back

The inverse of an exponential function is a logarithmic function.

Front

What does the logarithm log_b x represent?

Back

It represents the exponent to which the base b must be raised to produce x.

Front

What is the value of log_10 100?

Back

2