What is the answer to 9^2e^{2x}=81e^{2x} ?

The answer to 9^2e^{2x}=81e^{2x} is No Solution for x\in\mathbb{R}

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9^2e^{2x}=81e^{2x}

9^{2} e^{2 x} = 81 e^{2 x}

No Solution for x \in R

Solution steps

9^{2} e^{2 x} = 81 e^{2 x}

Move

81 e^{2 x}

to the left side

9^{2} e^{2 x} - 81 e^{2 x} = 0

Factor

9^{2} e^{2 x} - 81 e^{2 x} : e^{2 x} (9^{2} - 81)

e^{2 x} (9^{2} - 81) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{2 x} = 0

a^{f (x)}

cannot be zero or negative for

x \in R

No Solution for x \in R

(\frac{1}{5})^{2 x} = 125

3^{x + 10} = 9^{x + 7}

6 (4^{x}) = 5 (3^{(2 x - 3)})

5^{x - 2} - 5^{x} = - \frac{24}{125}

ln (1 + 2^{x}) = 2

What is the answer to 9^2e^{2x}=81e^{2x} ?
The answer to 9^2e^{2x}=81e^{2x} is No Solution for x\in\mathbb{R}