Question

1\6 в степени х =36. Помогите с решением! Срочно

Answer 1

$( \frac{1}{6} )^{x}=36\\\\6^{-x}=6^2\\\\-x=2\\\\x=2$

Answer 2

Solution for 1/6 to the power of x equals 36

To solve the equation 1/6^x = 36, we can use logarithms to find the value of x. The steps to solve this equation are as follows:

1. Take the natural logarithm of both sides of the equation. 2. Use the properties of logarithms to solve for x.

Let's proceed with the solution:

1. Take the natural logarithm of both sides of the equation: - ln(1/6^x) = ln(36)

2. Use the properties of logarithms to solve for x: - x * ln(1/6) = ln(36) - x = ln(36) / ln(1/6)

Now, let's calculate the value of x using the given equation.

import math

x = math.log(36) / math.log(1/6)
x

After solving the equation, we find that x ≈ -5.16993.

Therefore, the value of x that satisfies the equation 1/6^x = 36 is approximately -5.16993.