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Big Ideas Math Integrated I, 2016 View details

4. Solving Exponential Equations

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Exercise 1 Page 300

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

x=3

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. 2^(2x) = 2^6 ⇔ 2x = 6Finally, we will solve the equation 2x = 6.

2x = 6

DivEqn

.LHS /2.=.RHS /2.

x=6/2

CalcQuot

Calculate quotient

x = 3

To check our answer, we will substitute 3 for x in the given equation.

2^(2x) = 2^6

Substitute

x= 3

2^(2( 3)) ? = 2^6