Question

Cрочно Cрочно Срочно!!!! (1/2)^x =8

Answer 1

$( \frac{1}{2} )^{x} = 8 \\ 2^{ - x} = {2}^{3} \\ - x = 3 \\ x = - 3$

Answer 2

Ответ:

-3

Объяснение:

$\frac{1}{2}^{x}=8$

Представим 8 как 1/2 в n-ной степени

8=$\frac{1}{2}^-3$  ( т.к. 2х2х2=8 )

$\frac{1}{2}^{x}=\frac{1}{2}^-3$  Дело осталось за малым

Так как справа и слева одинаковые числа, работаем со степенями

x=-3

Answer 3

To solve the equation (1/2)^x = 8, we need to find the value of x.

Let's start by taking the logarithm of both sides of the equation. Any logarithm can be used, but we'll use the natural logarithm (base e) for simplicity:

ln((1/2)^x) = ln(8)

Next, we can use the logarithmic property that states ln(a^b) = b * ln(a):

x * ln(1/2) = ln(8)

Now, we need to find the values of ln(1/2) and ln(8). The natural logarithm of 1/2 is approximately -0.6931, and the natural logarithm of 8 is approximately 2.0794:

x * (-0.6931) = 2.0794

Now, let's solve for x:

x = 2.0794 / (-0.6931) x ≈ -3

So, the solution to the equation (1/2)^x = 8 is approximately x = -3.