What is 2e^5X+2=12?

Question

the ^ after the e is an exponent, e.x. 2^3=8

Answer 1

2e^5X + 2 = 12
e^5X + 1 = 6
e^5X = 5
5X = ln(5)
X = (1/5)ln(5)
x ≈ 0.3218876

Answer 2

2e^(5x) + 2 = 12
subtract 2 from both sides of the equation
2e^(5x) = 10
divide both sides of the equation by 2
e^(5x) = 5
take the natural logarithm of both sides of the equation
ln x and e^x are inverse functions: ln e^a = a
ln e^(5x) = ln 5
5x = ln 5
x = (1 / 5)ln 5 or (ln (5)) / 5 or ln 5^(1/5)

Answer: (ln (5)) / 5

Answer 3

is the x in the exponent?

if 2(e^5)*x + 2 = 12
..... x = 5/(e^5)

but, if x is in the exponent.
2[e^(5*x)] + 2 = 12

[e^(5*x)] = 5
5x = ln(5)
solve for x

Answer 4

e^5x=6
ln(e^5x)=ln6
ln(e^5x)=5x
5x=ln5
x=.3218875825