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Chapter 10: Q. 10.28 (page 1014)

Solve:

7x-3=7

Short Answer

Expert verified

By solving the equation 7x-3=7, the value of x is 4

Step by step solution

01

Step 1. Given

An expression7x-3=7

To solve the expression.

02

Step 2. Write both sides of the equation with the same base.

Since the left side has base 7, write the right side with base 7.

7x-3=71

03

Step 3. Write a new equation by setting the exponents equal.

Since the bases are same, the exponents must be equal.

x-3=1

04

Step 4. Solve the equation

Solve the equation

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

The value of x is 4

05

Step 5. Check the solution.

Substitute x=4in the original equation and solve.

7x-3=774-3=771=7

Hence the equation has been checked.

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