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Popular >

e^{2x}+3e^x=18

Solution

e^{2 x} + 3 e^{x} = 18

Solution

x = ln (3)

+1

Decimal Notation

x = 1.09861 \dots

Solution steps

e^{2 x} + 3 e^{x} = 18

Apply exponent rules

(e^{x})^{2} + 3 e^{x} = 18

Rewrite the equation with

e^{x} = u

(u)^{2} + 3 u = 18

Solve

u^{2} + 3 u = 18 : u = 3, u = - 6

u = 3, u = - 6

Substitute back

u = e^{x},

solve for

x

Solve

e^{x} = 3 : x = ln (3)

Solve

e^{x} = - 6 :

No Solution for

x \in R

x = ln (3)

Popular Examples

6 e^{- 8 x} = 2

3^{p} = \frac{1}{9}

solvefor x,4^{2x}=3 solve for

x, 4^{2 x} = 3

- 3 + 4 \cdot 2^{x} = 17

x^{l n (x)} = e

Frequently Asked Questions (FAQ)

What is the answer to e^{2x}+3e^x=18 ?
The answer to e^{2x}+3e^x=18 is x=ln(3)