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Chapter 10: Q. 322 (page 1045)

In the following exercises, solve each equation.

33x+1=81

Short Answer

Expert verified

On solving the equation, we get x=1.

Step by step solution

01

Step 1. Given information.

Consider the given exponential equation,

33x+1=81

Write both sides of the equation with the same base,

33x+1=34

Write a new equation by setting the exponents equal,

3x+1=4

On solving the equation,

3x+1-1=4-13x=3x=1

02

Step 2. Check the answers.

Substitute x=1in the original equation,

331+1=8133+1=8134=8181=81

This is true.

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