Question

1)Пропотенцировать: lg x = 3lg a - 7lg b - 5lg c 2) прологарифмировать: Х= (6а^6 *b^4 * c^2)/(5m^5*n^2) Хотя бы на один дайте ответ, пожалуйста

Answer 1

1) x=a^3/(b^7·c^5)
2) lg x=6·lga+lg6+4lgb+2lgc-lg5-5lgm-2lgn

Answer 2

Смотри приложенный файл

Answer 3

Solving the Equation:

To solve the equation lg(x) = 3lg(a) - 7lg(b) - 5lg(c), we can use the properties of logarithms to simplify the equation and find the value of x.

Using the property lg(a) + lg(b) = lg(a * b), we can rewrite the equation as:

lg(x) = lg(a^3 / (b^7 * c^5))

Now, we can remove the logarithm from both sides of the equation by taking the antilogarithm (raising both sides to the power of 10):

10^(lg(x)) = 10^(lg(a^3 / (b^7 * c^5)))

Simplifying further:

x = a^3 / (b^7 * c^5)

Therefore, the value of x is given by the expression a^3 / (b^7 * c^5).

Solving the Second Equation:

To solve the equation x = (6a^6 * b^4 * c^2) / (5m^5 * n^2), we can simplify the expression and find the value of x.

Simplifying the expression:

x = (6a^6 * b^4 * c^2) / (5m^5 * n^2)

Therefore, the value of x is given by the expression (6a^6 * b^4 * c^2) / (5m^5 * n^2).

Please note that these solutions are based on the given equations and the properties of logarithms. If there are any additional constraints or information, please let me know, and I'll be happy to assist you further.