Question

СРОЧНО 3^х+3+( 1/3 ) ^х−2 =36

Answer 1

Ответ:

Пошаговое объяснение:

3^(х+3)+( 1/3 ) ^(х−2) =36

3^(х)*27+9/(3^х) =36 делим на 9

3^(х)*3+1/(3^х) = 4

3^х = t

3t + 1/t -4 = 0

(3t^2-4t+1)/t = 0

По теореме Виета корни t = 1, t = 1/3

Обратная замена 3^x = 1, 3^x = 1/3 => x=0 или x=-1

Answer 2

Ответ:

Смотри вложение

Пошаговое объяснение

Answer 3

To solve the equation $3^x + 3 + \left(\frac{1}{3}\right)^x - 2 = 36$, we can start by simplifying it:

$3^x + \left(\frac{1}{3}\right)^x + 1 = 36$

Now, let's bring everything to one side of the equation:

$3^x + \left(\frac{1}{3}\right)^x - 35 = 0$

Now, it's not straightforward to solve this algebraically, and we might need to use numerical methods or graphical methods to find the solution. If you have access to a graphing calculator or software, you can plot the function $f(x) = 3^x + \left(\frac{1}{3}\right)^x - 35$ and find where it intersects the x-axis.

Alternatively, you can try numerical methods like the Newton-Raphson method or use online equation solvers to find the approximate value of $x$.