Question

2³x=1/⁴√2 решите пожалуйста

Answer 1

Х=1/(2³ ×⁴√2)
х=$1/(2^{1/4+3}) =1/(2^{13/4})=2^{-13/4}$≈0,1051

Answer 2

Solving the Equation 2³x = 1/⁴√2

To solve the equation 2³x = 1/⁴√2, we need to isolate the variable x. Let's break down the steps:

Step 1: Rewrite the equation using fractional exponents: 2^(3x) = 1/(2^(1/4))

Step 2: Apply the power rule of exponents to simplify the equation: 2^(3x) = 2^(-1/4)

Step 3: Since the bases are the same, we can equate the exponents: 3x = -1/4

Step 4: Solve for x by dividing both sides of the equation by 3: x = (-1/4) / 3

Step 5: Simplify the expression: x = -1/12

Therefore, the solution to the equation 2³x = 1/⁴√2 is x = -1/12.