Converting Logarithms to Exponential Form

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. For example, in the equation log_b(a) = c, b^c = a.

Front

How do you convert a logarithmic equation to exponential form?

Back

To convert a logarithmic equation log_b(a) = c to exponential form, rewrite it as b^c = a.

Front

What is the base in a logarithmic expression?

Back

The base in a logarithmic expression is the number that is raised to a power. In log_b(a), b is the base.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation. If b^c = a, then log_b(a) = c.

Front

Convert log_2(8) to exponential form.

Back

2^3 = 8.

Front

Convert log_10(100) to exponential form.

Back

10^2 = 100.

Front

Convert log_5(25) to exponential form.

Back

5^2 = 25.

Front

Convert log_3(27) to exponential form.

Back

3^3 = 27.

Front

What is the definition of exponential form?

Back

Exponential form is a way of expressing numbers using a base raised to a power, such as b^c.

Front

How do you convert an exponential equation to logarithmic form?

Back

To convert an exponential equation b^c = a to logarithmic form, rewrite it as log_b(a) = c.