Question

${5}^{x} - {3}^{x} = 2$
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Answer 1

Answer : x1 = - 1, x2 = 1

Step by step explanation :

Solving using the square root method.

$5x {}^{2} - 3x {}^{2} = 2$

Collect like terms by subtracting their coefficients.

$= > 2x {}^{2} = 2$

Divide both sides of the equation by 2.

$= > x {}^{2} = 1$

Take the square root of both sides of the equation and remember to use both positive and negative roots.

$= > x = + - 1$

Separate the solutions.

$= > x = - 1 \: \: \: \: \: \: \: \: \: \\ x = 1$

The final solutions are

$= > x1 = - 1 \\ \: \: \: \: \: \: \: \: x2 = 1$

Answer 2

Answer:

your answer

Step-by-step explanation:

hope it's help you XD