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Chapter 11: Q. 4 (page 796)

In Problems 1-6, solve each equation.

3x=9x+1.

Short Answer

Expert verified

The solution for the equation3x=9x+1is,x=-2.

Step by step solution

01

Step 1 Given equation is,

3x=9x+1.

We know that, 32=9.

So, the given equation becomes,

3x=32(x+1)

02

Step 2 The expression obtained above can be solved since the radical of the exponentials on both the sides are same by equating the radicand of both the exponentials.

x=2x+1

Now simplify the obtained equation.

x=2x+2x-2x=2-x=2x=-2

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