What is the answer to x143=12e^{1.4x+1.3} ?

The answer to x143=12e^{1.4x+1.3} is No Solution for x\in\mathbb{R}

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x143=12e^{1.4x+1.3}

x 143 = 12 e^{1.4 x + 1.3}

No Solution for x \in R

Solution steps

x \cdot 143 = 12 e^{1.4 x + 1.3}

Prepare

x 143 = 12 e^{1.4 x + 1.3}

for Lambert form:

x \cdot 143 e^{- 1.4 x - 1.3} = 12

Rewrite the equation with

- 1.4 x = u

and

x = - \frac{5 u}{7}

(- \frac{5 u}{7}) \cdot 143 e^{- 1.4 (- \frac{5 u}{7}) - 1.3} = 12

Simplify

- \frac{715 e ^{u - 1.3} u}{7} = 12

Rewrite

- \frac{715 e ^{u - 1.3} u}{7} = 12

in Lambert form:

e^{u} u = - \frac{84 e ^{1.3}}{715}

Solve

e^{u} u = - \frac{84 e ^{1.3}}{715} :

No Solution for

u \in R

No Solution for x \in R

a^{a} = 27

63 = 1 3^{x}

2^{x} + 2^{x - 1} = 12

3^{2 x - 2} = 3

x, e^{x} + e^{- x} = 2 y

What is the answer to x143=12e^{1.4x+1.3} ?
The answer to x143=12e^{1.4x+1.3} is No Solution for x\in\mathbb{R}