Question

1/32^х-6=2 найти корень уравнения​

Answer 1

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Answer 2

To solve the equation (1/32)^x - 6 = 2, we need to find the value of x that satisfies the equation. Let's proceed with the solution:

Step 1: Eliminate the constant term on one side of the equation: (1/32)^x = 2 + 6 (1/32)^x = 8

Step 2: Convert both sides to the same base. In this case, we can convert 8 to a power of 1/32: 8 = 2^3, and 2^3 = (2^5)^(-3) = 32^(-3) So, the equation becomes: (1/32)^x = 32^(-3)

Step 3: Since both sides have the same base, the exponents must be equal: x = -3

Therefore, the solution to the equation is x = -3.