( 10 ^ 5-x )^ 6-x = 100

Предыдущий
вопрос Следующий
вопрос

To solve this equation, we need to first simplify the expression on the left side of the equation:

(10 ^ (5-x) )^ (6-x) = 100
(10 ^ (5-x) * (6-x)) = 100
10 ^ (30 - 11x + x^2) = 100
10 ^ (x^2 - 11x + 30) = 100
x^2 - 11x + 30 = log10(100)
x^2 - 11x + 30 = 2
x^2 - 11x + 28 = 0
(x-4)(x-7) = 0
x = 4 or x = 7

Therefore, the solutions to the equation are x = 4 or x = 7.