What is the answer to 4^{x+3}-4^x=A*4^x ?

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

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4^{x+3}-4^x=A*4^x

4^{x + 3} - 4^{x} = A \cdot 4^{x}

No Solution for x \in R

Solution steps

4^{x + 3} - 4^{x} = A \cdot 4^{x}

Subtract

A 4^{x}

from both sides

4^{x + 3} - 4^{x} - A \cdot 4^{x} = A \cdot 4^{x} - A \cdot 4^{x}

Simplify

4^{x + 3} - 4^{x} - A \cdot 4^{x} = 0

Factor

4^{x + 3} - 4^{x} - A \cdot 4^{x} : 4^{x} (- A + 63)

4^{x} (- A + 63) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

4^{x} = 0

Solve

4^{x} = 0 :

No Solution for

x \in R

No Solution for x \in R

x, e^{3 - 4 x} = 9

5 e^{x} = 137

x, 3^{3 x} = 7^{2 x + 1}

(- 0.2)^{x} = 38 (\frac{1}{3})^{x}

1 1^{x} = 121

What is the answer to 4^{x+3}-4^x=A*4^x ?
The answer to 4^{x+3}-4^x=A*4^x is No Solution for x\in\mathbb{R}