Chapter 11: Q. 4 (page 796)

In Problems $1 - 6$ , solve each equation.
$3^{x} = 9^{x + 1}$ .

Short Answer

Expert verified

The solution for the equation $3^{x} = 9^{x + 1}$ is, $x = - 2$ .

Step by step solution

Step 1 Given equation is,

$3^{x} = 9^{x + 1}$ .

We know that, $3^{2} = 9$ .

So, the given equation becomes,

$3^{x} = 3^{2 (x + 1)}$

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.

$x = 2 (x + 1)$

Now simplify the obtained equation.

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

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In Problems $1 - 6$ , solve each equation.
$3^{x} = 9^{x + 1}$ .

Short Answer

Step by step solution

Step 1 Given equation is,

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.

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In Problems 1-6, solve each equation.3x=9x+1.

Short Answer

Step by step solution

Step 1 Given equation is,

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.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

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Study anywhere. Anytime. Across all devices.

In Problems $1 - 6$ , solve each equation.
$3^{x} = 9^{x + 1}$ .