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Core Connections Integrated III, 2015 View details

2. Section 1.2

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Exercise 68 Page 31

If two expressions with the same base are equivalent, the exponents must also be equal.

x=5/2

Practice makes perfect

We are given two equivalent expressions with the same base. If both sides of the equation are equal, the exponents must also be equal. 2^(x+4)=2^(3x-1) ⇔ x+4=3x-1 Next, we will solve the equation x+4=3x-1.

x+4=3x-1

SubEqn

LHS-x=RHS-x

4=2x-1

AddEqn

LHS+1=RHS+1

5=2x

DivEqn

.LHS /2.=.RHS /2.

5/2=x

RearrangeEqn

Rearrange equation