Question

Log5 x=-2 решить уравнение

Answer 1

$log_5x=-2\; ,\; \; \; \; ODZ:\; x>0\\\\x=5^{-2}\\\\x=\frac{1}{25}$

Answer 2

Ответ:

1/25

Пошаговое объяснение:

Answer 3

To solve the equation log₅(x) = -2, we need to understand the logarithmic notation. In logarithmic form, the equation can be rewritten as:

x = 5^(-2)

To simplify further, we can recall that any number raised to the power of -n is equal to 1 divided by that number raised to the power of n. Therefore:

x = 1 / 5² x = 1 / 25

Hence, the solution to the equation log₅(x) = -2 is x = 1/25.