Question

2^х= 32 решите пожалуйста

Answer 1

2 в пятой степени = 32;
2^2 = 4;
2^3 = 8;
2^4 = 16;
2^5 = 32

Answer 2

Solution to 2^x = 32

To solve the equation 2^x = 32, we can use the property of logarithms. Taking the logarithm of both sides of the equation will allow us to solve for x.

Step 1: Take the logarithm of both sides of the equation. - We can use the natural logarithm (ln) or the common logarithm (log) to solve the equation.

Step 2: Apply the logarithm property to solve for x.

Let's proceed with the solution using the natural logarithm.

Step 1: Take the natural logarithm of both sides of the equation: - ln(2^x) = ln(32)

Step 2: Apply the logarithm property to solve for x: - x * ln(2) = ln(32) - x = ln(32) / ln(2)

Now, let's calculate the value of x using the natural logarithm.

Calculating x: - x = ln(32) / ln(2) - x ≈ 5

Therefore, the solution to the equation 2^x = 32 is approximately x ≈ 5.