7.2 Solving Exponential Equations Without using Logarithms

Front

Solve for x: 5^x = 1/125

Back

x = -3

Front

Solve for x: 5^(-3x - 1) = 25

Back

x = -1

Front

Solve for x: (-3)^x = (-3)^13

Back

x = 13

Front

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

Back

x = 5

Front

Solve for x: 3^(2x) = 1/9

Back

x = -1

Front

Definition: Exponential Equation

Back

An equation in which a variable appears in an exponent.

Front

Definition: Base of an Exponential Function

Back

The constant value that is raised to a power in an exponential expression.

Front

Definition: Solving Exponential Equations

Back

Finding the value of the variable that makes the equation true.

Front

Example: Solve for x: 2^x = 16

Back

x = 4 (since 2^4 = 16)

Front

Example: Solve for x: 4^x = 1/16

Back

x = -2 (since 4^(-2) = 1/16)