What is the answer to 3^{x+2}=4x ?

The answer to 3^{x+2}=4x is No Solution for x\in\mathbb{R}

Solve for x: 3^{x+2}=4x

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

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3^{x + 2} = 4 x

No Solution for x \in R

Solution steps

3^{x + 2} = 4 x

Prepare

3^{x + 2} = 4 x

for Lambert form:

1 = 4 x e^{l n (3) (- x - 2)}

Rewrite the equation with

- x ln (3) = u

and

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

1 = 4 (- \frac{u}{ln ( 3 )}) e^{l n (3) (- (- \frac{u}{l n ( 3 )}) - 2)}

Simplify

1 = - \frac{4 e ^{u - 2 l n (3)} u}{ln ( 3 )}

Rewrite

1 = - \frac{4 e ^{u - 2 l n (3)} u}{ln ( 3 )}

in Lambert form:

e^{u} u = - \frac{9 ln ( 3 )}{4}

Solve

e^{u} u = - \frac{9 ln ( 3 )}{4} :

No Solution for

u \in R

No Solution for x \in R

3 \cdot 4^{x} = 2^{2 x + 1}

x, y - 1 = e^{x}

0.75 = 1 - e^{- \frac{x}{2}}

8^{x + 2} = 125

2^{x - 1} = 4^{5}

What is the answer to 3^{x+2}=4x ?
The answer to 3^{x+2}=4x is No Solution for x\in\mathbb{R}
Solve for x: 3^{x+2}=4x
The solution is No Solution for x\in\mathbb{R}