Question

Why 5 power of x = -5 is an unacceptable equation?

Answer 1

$5^{x}=-5$ is an unacceptable equation

Explanation:

• We know the relation: $a^{b}=c$ where a, b, c are real numbers and especially c is a positive number.

• Given, $5^{x}=-5$

• The right hand side (- 5) contradicts the method itself and thus there cannot be a negative number on the right hand side.

The problem can be understood from another point:

• Now, $5^{x}=-5$
• $\Rightarrow x\:log5=log(-5)$ but there can not be a negative log value.