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Chapter 10: Q. 382 (page 1063)

In the following exercises,solve each equation.

9x=27.

Short Answer

Expert verified

The solution is x=32.

Step by step solution

01

Step 1.Given information

Consider the given quadratic equation 9x=27

Solve the equation for x as follows;

02

Step 2.First write both sides of the equation with the same base.

(32)x=(33)[32=9,33=27]32x=33[(am)n=amn]

Because the base are same 3,so the exponent must be equal.

2x=3

03

Step 3.Now solve the equation

2x2=32[divideby3]x=32So,thevalueofx=32

04

Step 4.Check

To check the solution,replace x by 32in original equation.

932=27(3)232=27(33)=2727=27

Therefore,the solution isx=32

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