body{margin:0;} noscript{z-index: 10000; position: fixed; display: block; height: 100%; width: 100%; background: #fff;} noscript .fa{font-size: 40px; display:block; color: #daa520;} noscript div{margin-top: 6%; padding-left: 20px; padding-right: 20px; text-align: center;} ! You must have JavaScript enabled to use this site.

Dashboard

BI

Big Ideas Math Integrated I, 2016 View details

4. Solving Exponential Equations

Finish the assignment

Continue to next subchapter

Exercise 3 Page 303

If both sides of the equation are equal, the exponents must also be equal.

x=2

Practice makes perfect

To solve the given exponential equation, note that we have two equivalent expressions with the same base. If both sides of the equation are equal, the exponents must also be equal. 4^(5x) = 4^(10) ⇔ 5x = 10Finally, we will solve the equation 5x = 10.

5x = 10

DivEqn

.LHS /5.=.RHS /5.

x=10/5

CalcQuot

Calculate quotient

x = 2

To check our answer, we will substitute 2 for x in the given equation.

4^(5x) = 4^(10)

Substitute

x= 2

4^(5( 2)) ? = 4^(10)