Question

При каком значении х верно равенство 2 в степени 4-5х =512

Answer 1

4-5х=512 ; 4-5x-512=0 ; -5x-516=0 ; -5x=516 ; x=516/5 ; x= 103.2

Answer 2

При каком значении x верно равенство 2 в степени 4-5х = 512?

Solving the Equation

To find the value of x that satisfies the equation 2^(4-5x) = 512, we need to solve for x.

Let's break down the steps to solve the equation:

1. Rewrite 512 as a power of 2: 512 = 2^9. 2. Set the exponents equal to each other: 4 - 5x = 9. 3. Solve for x: - Subtract 4 from both sides: -5x = 5. - Divide both sides by -5: x = -1.

Therefore, the value of x that satisfies the equation 2^(4-5x) = 512 is x = -1.