Question

Log1/6(8х-10)=log1/6x

Answer 1

Приравняем подлогарифмические выражения: 8x - 10 = 6x
2x = 10
x = 5
Проверим удовлетворяет ли x = 5 ОДЗ логарифма. Удавлитворяет!
Ответ: 5

Answer 2

To solve the equation log₁/₆(8x - 10) = log₁/₆x, you can use the properties of logarithms. In this case, since both sides of the equation have the same base (1/6), you can set the arguments (what's inside the logarithms) equal to each other:

8x - 10 = x

Now, you can solve for x:

8x - x = 10

7x = 10

x = 10 / 7

So, the solution to the equation is:

x = 10/7