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Chapter 2: Q12. (page 86)

Evaluate the following equation and check the solution is correct or not:

23n=10

Short Answer

Expert verified

The solution of the equation 23n=10is n=15.

Step by step solution

01

Step 1. Given information.

The given equation is 23n=10.

02

Step 2. Write the concept.

In an equation, the variable represents the number that satisfies the equation.

To solve an equation means to find the value of the variable that makes the equation true.

If an equation is true and the same number is added to each side of the equation, then the resulting equivalent equation is also true.

03

Step 3. Solve the equation.

The equation 23n=10can be solved below:

23n=10

Multiply both sides by 3,

role="math" localid="1642413487955" 23n脳3=10脳32n=10脳3n=10脳32n=5脳3

So,

n=15

04

Step 4. Check the solution.

Take the equation 23n=10.

Substitute n=15on the right-hand side of the equation.

role="math" localid="1642413617607" 23n=1023脳15=102脳5=1010=10

This shows that, n=15is the solution of the given equation.

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