Chapter 10: Q. 323 (page 1054)

In the following exercises, solve each equation.
$6^{4 x - 17} = 216$

Short Answer

Expert verified

On solving the equation, we get $x = 6$ .

Step by step solution

Step 1. Given information.

Consider the given exponential equation,

$6^{4 x - 17} = 216$

Write both sides of the equation with the same base,

$6^{4 x - 17} = 6^{3}$

Write a new equation by setting the exponents equal,

$4 x - 17 = 3$

On solving the equation,

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

Step 2. Check the answers.

Substitute $x = 5$ in the original equation,

$6^{4 (5) - 17} = 216 6^{20 - 17} = 216 6^{3} = 216 216 = 216$

This is true.

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In the following exercises, solve each equation.
$6^{4 x - 17} = 216$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Check the answers.

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In the following exercises, solve each equation.64x-17=216

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Check the answers.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

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Study anywhere. Anytime. Across all devices.

In the following exercises, solve each equation.
$6^{4 x - 17} = 216$