Question

Решить уравнение: (0,1)^3х-4=100

Answer 1

(0,1)^3х-4=100
10^-3х+4 =10^2
-3х+4=2
-3х=2-4
-3х=-2
Х=2/3

Answer 2

To solve the equation, we need to clarify what you mean by "(0,1)^3х-4=100". It seems there might be a misunderstanding or a typo in the expression. It's not clear what you intended to write. However, I can offer you two interpretations based on the possible mistakes:

1. If you meant the expression as "(0, 1)^3x - 4 = 100", then the first step is to understand the notation "(0, 1)^3x." If you intended to raise the entire expression to the power of 3, it would look like this: "(0, 1)^3 x." However, that doesn't make mathematical sense, and it's likely not what you meant.

2. If you meant the expression as "(0.1)^3x - 4 = 100," then we can proceed to solve it. In this case, it's a straightforward equation:

(0.1)^3x - 4 = 100

Let's solve it step by step:

Step 1: Move the constant term to the right side of the equation:

(0.1)^3x = 100 + 4

Step 2: Perform the addition on the right side:

(0.1)^3x = 104

Step 3: Now, we need to isolate the x term. To do that, take the logarithm of both sides (base 0.1):

log(0.1)^3x = log(104)

Step 4: Simplify the left side using the logarithmic property: log(a^b) = b * log(a):

3x * log(0.1) = log(104)

Step 5: Divide both sides by 3 * log(0.1) to solve for x:

x = log(104) / (3 * log(0.1))

Using a calculator:

x ≈ -33.5057

Please double-check the original expression to ensure its correctness, as the initial notation seems unusual. If you intended something else or if there was a typo, feel free to provide the correct equation, and I'd be happy to help you solve it.