Solving Exponential Equations

Front

What is an exponential equation?

Back

An exponential equation is an equation in which a variable appears in the exponent. For example, in the equation 2^x = 8, x is the variable in the exponent.

Front

How do you solve an exponential equation with the same base?

Back

To solve an exponential equation with the same base, set the exponents equal to each other. For example, if 7^x = 7^2, then x = 2.

Front

What is the property of exponents that states a^m * a^n = a^(m+n)?

Back

This property is known as the Product of Powers Property.

Front

What is the property of exponents that states a^m / a^n = a^(m-n)?

Back

This property is known as the Quotient of Powers Property.

Front

What is the property of exponents that states (a^m)^n = a^(m*n)?

Back

This property is known as the Power of a Power Property.

Front

Solve: 7^-x = 49

Back

x = -2

Front

Solve for x: 16^(x+5) = 64^-2

Back

x = -8

Front

Solve for x: (1/8)^x = 2^3

Back

x = -1

Front

Solve: 9^(8-x) = 27^(x-3)

Back

x = 5

Front

Solve for n: 2^-2n = 2^6

Back

n = -3