solve e^(2x)=e^(x+1) — step-by-step solution

Let's solve in

ℝ

e^{2 x} = e^{x + 1}

Since the exponential function is strictly increasing,

e^{a} = e^{b}

is equivalent to

a = b

2 x = x + 1

ⓘ We subtract

x

from both sides

2 x - x = 1

ⓘ Like terms are grouped by adding their coefficients:

2 x - x

x

▶Solution found:

x = 1