Question

√5 * 5^5x = 1/5 помогите решить уравнение, срочно

Answer 1

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Answer 2

Solving the Equation

To solve the equation √5 + 5^5x = 1/5, we can follow the steps below:

First, let's rewrite the equation in a more standard form: √5 + 5^(5x) = 1/5

Now, we can proceed with solving for x.

Solution Steps

1. Subtract √5 from both sides of the equation: 5^(5x) = 1/5 - √5

2. Take the natural logarithm of both sides to solve for x: ln(5^(5x)) = ln(1/5 - √5)

3. Apply the logarithm power rule to bring down the exponent: 5x * ln(5) = ln(1/5 - √5)

4. Solve for x by dividing both sides by ln(5): x = ln(1/5 - √5) / (5 * ln(5))

Final Result

By following these steps, we can solve the equation √5 + 5^5x = 1/5 to find the value of x.