Framing Algebraic Expressions — Statement I-II Type Questions

Statement 1: $2^x - 32 = 0$ does not represent a linear equation.

Statement 2: Linear equations do not have variable in exponent.

Which of the following options is correct?

1. Both the statements are true.

2. Both the statements are false.

3. Statement 1 is true, and statement 2 is false.

4. Statement 1 is false, and statement 2 is true.

Answer

In $2^x − 32 = 0$, the variable $x$ appears in the exponent, so it is not a linear equation. So, statement 1 is true.

A linear equation has its variable raised to the power 1 only and cannot have the variable in the exponent. So, statement 2 is true.

Hence, option 1 is the correct option.