Question

Log6 (8-x) = log6 3 \и объяснение, если можно\

Answer 1

Основания равны,значит равны и подлогарифимические значения
8-x=3
x=8-3
x=5

Answer 2

Логарифм это показатель степени, в которую нужно возвести основание, чтобы получить число под логарифмом, те мы 6 возводим в одну и туже степень( логарифмы то равны)
Поэтому и результаты будут равны.
8-Х=3
Х=5

Answer 3

Solving the Equation Log6(8-x) = Log6(3)

To solve the equation Log6(8-x) = Log6(3), we can use the property of logarithms that states if Loga(b) = Loga(c), then b = c. In this case, both sides of the equation have the same base (6), so we can equate the expressions inside the logarithms.

Step 1: Equate the Expressions Inside the Logarithms - Log6(8-x) = Log6(3)

Step 2: Solve for x - By equating the expressions inside the logarithms, we get: 8 - x = 3

Step 3: Solve for x - Solving for x, we have: x = 8 - 3 x = 5

Therefore, the solution to the equation Log6(8-x) = Log6(3) is x = 5.

This solution is derived from the basic property of logarithms, which states that if the logarithms have the same base, then the expressions inside the logarithms must be equal