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Chapter 10: Q. 10.27 (page 1014)

Solve:

33x-2=81

Short Answer

Expert verified

By solving the equation 33x-2=81, the value of x is 2

Step by step solution

01

Step 1. Given

An expression33x-2=81

To solve the expression.

02

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

Since the left side has base 3, write the right side with base 3.

33x-2=3.33

33x-2=34

03

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

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

3x-2=4

04

Step 4. Solve the equation

Solve the equation

3x-2=43x=4+23x=6

Divide both sides by 3,

x=2

05

Step 5. Check the solution.

Substitute x=2in the original equation and solve.

33x-2=8133(2)-2=8136-2=8134=81

Hence the equation has been checked.

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