Question

Найдите корень уравнения 0,4^x=0,064 СРОЧНООО_!!!

Answer 1

0,4^x=0,4^3
x=3
Ответ: х=3

Answer 2

Solving the Exponential Equation 0.4^x = 0.064

To find the value of x that satisfies the equation 0.4^x = 0.064, we can use logarithms to solve for x.

First, we can rewrite the equation in logarithmic form. The logarithm with base 0.4 of 0.064 is equal to x: log(0.4) 0.064 = x

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

Calculating the Value of x

Using the logarithmic form of the equation, we can calculate the value of x: x = log(0.4) 0.064

Let's calculate the value of x using the provided equation.

Calculation

x = log(0.4) 0.064 ≈ -2.5

Therefore, the value of x that satisfies the equation 0.4^x = 0.064 is approximately -2.5.