Solve Exponential Equations using Logarithms

Front

What do the logarithmic function and its inverse do on a graph?

Back

They reflect over the line y=x.

Front

Change to Exponential Form: log₆36 = 2

Back

6² = 36

Front

What is the definition of a logarithm?

Back

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

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power.

Front

How do you convert an exponential equation to logarithmic form?

Back

If a^b = c, then logₐc = b.

Front

What is the relationship between exponential and logarithmic functions?

Back

They are inverse functions.

Front

Solve for x: 2^x = 16

Back

x = 4

Front

Solve for x: log₃x = 4

Back

x = 81

Front

What is the change of base formula for logarithms?

Back

logₐb = logₓb / logₓa for any base x.

Front

Solve for x: log₄(2x) = 3

Back

x = 8.