What is the answer to 3x-2=3^x+1 ?

The answer to 3x-2=3^x+1 is No Solution for x\in\mathbb{R}

Solve for x: 3x-2=3^x+1

The solution is No Solution for x\in\mathbb{R}

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3 x - 2 = 3^{x} + 1

No Solution for x \in R

Solution steps

3 x - 2 = 3^{x} + 1

Prepare

3 x - 2 = 3^{x} + 1

for Lambert form:

1 = (3 x - 3) e^{- l n (3) x}

Rewrite the equation with

(- x + 1) ln (3) = u

and

x = - \frac{u - ln ( 3 )}{ln ( 3 )}

1 = (3 (- \frac{u - ln ( 3 )}{ln ( 3 )}) - 3) e^{- l n (3) (- \frac{u - l n ( 3 )}{l n ( 3 )})}

Simplify

1 = e^{u - l n (3)} (- \frac{3 ( u - ln ( 3 ) )}{ln ( 3 )} - 3)

Rewrite

1 = e^{u - l n (3)} (- \frac{3 ( u - ln ( 3 ) )}{ln ( 3 )} - 3)

in Lambert form:

e^{u} u = - ln (3)

Solve

e^{u} u = - ln (3) :

No Solution for

u \in R

No Solution for x \in R

1 6^{5 - x} = 8^{2 x + 4}

2^{3^{x + 1}} = 8^{9}

256 = 2^{n - 1}

5^{4 x - 5} = 125

\frac{( 1 - e ^{- 0.5 x} )}{x} = 0.219

What is the answer to 3x-2=3^x+1 ?
The answer to 3x-2=3^x+1 is No Solution for x\in\mathbb{R}
Solve for x: 3x-2=3^x+1
The solution is No Solution for x\in\mathbb{R}