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Chapter 10: Q. 380 (page 1063)

In the following exercises,graph each of the following functions.

35x-6=81

Short Answer

Expert verified

The solution isx=2.

Step by step solution

01

Step 1.Given information

Consider the given quadratic equation 35x-6=81

Solve the equation for x as follows;

02

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

Because left side of the equation has base 2,so write the right side of the equation with base 3 as

35x-6=8135x-6=34[34=81]

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

5x-6=4

03

Step 3.Now solve the equation

5x-6+6=4+6[add6]5x=105x5=105[Divideby5]x=2So,thevalueisx=2

04

Step 4.Check

To check the solution,replace x by 2 in original equation.

35.2-6=81310-6=8134=8181=81[true]Therefore,thesolutionisx=2

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