How do you solve this? Step by step please

2^x=5e^(x+1)

Step-by-step explanation:

So we have the equation:

Let's take the natural log of both sides:

On the left, we can move the x to the front:

On the right, we can separate the logs:

For the second term on the right, move all the exponent stuff to the front:

The natural log of e is 1. So:

Simplify:

Subtract x from both sides:

Factor out an x from the left:

Divide both sides by the equation in the factor:

So, our answer is:

And we're done!

with btw u said 100pts but it clearly says

i answerd and just got 10pts

no hate