3 log1/6 x=log 1/6 4 +log 1/6 54"

Предыдущий
вопрос Следующий
вопрос

To solve this equation, we can use the properties of logarithms, specifically the addition property and the power property.

First, we can combine the logarithms on the right side of the equation using the addition property: log1/6 4 + log1/6 54 = log1/6 (4*54) = log1/6 216

Now we have the equation: 3 log1/6 x = log1/6 216

Next, we can use the power property of logarithms to rewrite the equation: log1/6 x^3 = log1/6 216

Since the logarithms are equal, the expressions inside the logarithms must be equal as well: x^3 = 216

Finally, we can solve for x by taking the cube root of both sides: x = ∛216

Therefore, x = 6.