Question

Найти область определения функции y=1/log2(x-1)

Answer 1

Так как логарифм
x-1>0
x>1
так как знаменатель
log2(x-1)<>0
x-1<>1
x<>2
Ответ: D(y) - (1;2) и (2;+бесконечность).

Answer 2

Finding the Domain of the Function y=1/log2(x-1)

The function y=1/log2(x-1) represents a logarithmic function. To find the domain of this function, we need to consider the restrictions on the input variable x that would make the function undefined.

Domain of the Function:

The domain of the function y=1/log2(x-1) is determined by the values of x for which the logarithm function is defined. In this case, the base of the logarithm is 2, and the argument of the logarithm (x-1) must be greater than 0 to avoid taking the logarithm of a non-positive number.

Calculation:

The argument of the logarithm (x-1) must be greater than 0: x-1 > 0

Solving for x: x > 1

Conclusion:

Therefore, the domain of the function y=1/log2(x-1) is all real numbers x such that x > 1.

Cited Sources: - Source Title: ' : R' Snippet: " 1 , R. ... "head" , 20 , ..."