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Chapter 5: Q. 14 (page 351)

Solve each equation.

5x+2=125

Short Answer

Expert verified

The value of x is 1.

Step by step solution

01

Step 1. Given Information

Given Equation 5x+2=125

We have to solve the equation for the value of x.

02

Step 2. Solution

Notice how bases 25 and 5 can be reduced to the sme base, which is a = 2.

5x+2=1255x+2=53

Now that we have reduced the expressions to equal bases we will use the following property:

  • If ax=ay,thenx=y(wherea鈮�1anda>0)---(1)

We will use the property: (1)

5x+2=53x+2=3x=1

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