The number of solution(s) of $y = | {log}_{e} | x | |$ and $y = e^{x},$ is

Open in App

Solution

Graph of $y = {log}_{e} | x |$ is

Now, graph of $y = | {log}_{e} | x | |$ is

Now, $y = | {log}_{e} | x | |$ and $y = e^{x}$

As $y = | {log}_{e} | x | |$ and $y = e^{x}$ intersects at three distinct points, hence the number of solutions is $3.$

Suggest Corrections

Similar questions

y = e^{x}

\frac{d y}{d x} = (x - y)^{2}

y (1) = 1

y = l o g_{e} s i n (e^{x})

y = e x log x

y = \frac{log x}{e x}

log e = 1

y = e x log x

y = \frac{log x}{e x}

log e = 1

Join BYJU'S Learning Program