Question

The number of solutions of the equation $|x-1|=e^x$ is

• A. $0$
• B. $1$
• C. $2$
• D. $3$

Answer 1

The correct option is B

$1$

Find the number of solutions for the given expression

Given: $|x-1|=e^x$

Let $y=e^x$

$\therefore y=e^x=\left|x-1\right|$

If $x=0$

$y=e^0=\left|0-1\right|=1$

So, for $x=0$ , $y$ becomes $1$.

Any other value of $x$ is not possible due to exponential.

Therefore, there is only $1$ solution for $|x-1|=e^x$

Hence, option (B) is the correct answer.