Solving Exponent Equations Without Logarithms

Front

What is the first step in solving exponential equations with the same base?

Back

Ignore the base and set the exponents equal to each other.

Front

Back

Front

What base should you rewrite 8 as in the equation 8 = 2^{5x+7}?

Back

Rewrite 8 as base 2.

Front

Back

x = ¼.

Front

Back

x = 3.

Front

What is an exponential equation?

Back

An equation in which a variable appears in the exponent.

Front

What is the property of exponents that allows you to set exponents equal when bases are the same?

Back

Front

Back

Set the bases equal and solve for x.

Front

Back

x = 1.

Front

What is the definition of a base in an exponential expression?

Back

The number that is raised to a power.