Question

Log 1/4 (1 – x) = -1

Answer 1

Ответ:

х=-3

Объяснение:

Я решала по определению. Что это значит?  1/4 в степени -1 = 1- х

1/4 в степени -1 = 4

4=1-х х=-3

Answer 2

To solve the equation log₁/₄(1 - x) = -1, we'll need to use logarithmic properties to isolate the variable x. Here's how you can solve it step by step:

Step 1: Rewrite the equation using the definition of logarithms. log₁/₄(1 - x) = -1 can be rewritten as 4^(-1) = 1 - x.

Step 2: Simplify the left side of the equation. 4^(-1) = 1/4.

So, we have 1/4 = 1 - x.

Step 3: Solve for x. Subtract 1 from both sides of the equation: 1/4 - 1 = -x.

Simplify the left side: -3/4 = -x.

Finally, multiply both sides by -1 to solve for x: x = 3/4.

Therefore, the solution to the equation log₁/₄(1 - x) = -1 is x = 3/4.