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Chapter 10: Q. 323 (page 1054)

In the following exercises, solve each equation.

64x-17=216

Short Answer

Expert verified

On solving the equation, we get x=6.

Step by step solution

01

Step 1. Given information.

Consider the given exponential equation,

64x-17=216

Write both sides of the equation with the same base,

64x-17=63

Write a new equation by setting the exponents equal,

4x-17=3

On solving the equation,

4x-17+17=3+174x=20x=5

02

Step 2. Check the answers.

Substitute x=5in the original equation,

645-17=216620-17=21663=216216=216

This is true.

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