Question

(1/2)^x-9=32 решите пожалуйста

Answer 1

Используя  $\left( \frac{1}{a} \right)^{-n}=a^n$

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Answer 2

To solve the equation (1/2)^x - 9 = 32, follow these steps:

Step 1: Add 9 to both sides of the equation to isolate the exponential term on the left side:

(1/2)^x = 32 + 9 (1/2)^x = 41

Step 2: Take the logarithm (base 1/2) of both sides to eliminate the exponent:

x * log(1/2) = log(41)

Step 3: Solve for x:

x = log(41) / log(1/2)

Step 4: Calculate the value of x:

x = -log(41) / log(2)

Using a calculator:

x ≈ -5.35755

Therefore, the value of x that satisfies the equation is approximately -5.35755.