Калькуляторы онлайн/ Решение уравнений/ Упрощение выражений/ Общий знаменатель/ -2^((1-log(3)/log(2))*(1-x)+log(3)/log(2))/(log(2)*(1-log(3)/log(2)))

Общий знаменатель -2^((1-log(3)/log(2))*(1- ... log(2)*(1-log(3)/log(2)))

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Примеры

Решение

Вы ввели [src]
  /    log(3)\           log(3) 
  |1 - ------|*(1 - x) + ------ 
  \    log(2)/           log(2) 
-2                              
--------------------------------
             /    log(3)\       
      log(2)*|1 - ------|       
             \    log(2)/
$$\frac{-1 \cdot 2^{\left(- x + 1\right) \left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) + \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}}}}{\left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) \log{\left (2 \right )}}$$
Степени [src]
  log(3)           /    log(3)\ 
  ------ + (1 - x)*|1 - ------| 
  log(2)           \    log(2)/ 
-2                              
--------------------------------
      /    log(3)\              
      |1 - ------|*log(2)       
      \    log(2)/
$$- \frac{2^{\left(- x + 1\right) \left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) + \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}}}}{\left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) \log{\left (2 \right )}}$$
Численный ответ [src]
2.46630346237643*2.0^(1.0 + 0.584962500721156*x)
Рациональный знаменатель [src]
  log(3)   /    log(3)\          
  ------ - |1 - ------|*(-1 + x) 
  log(2)   \    log(2)/          
-2                               
---------------------------------
         -log(3) + log(2)
$$- \frac{1}{- \log{\left (3 \right )} + \log{\left (2 \right )}} 2^{- \left(x - 1\right) \left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) + \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}}}$$
Объединение рациональных выражений [src]
    (1 - x)*(-log(3) + log(2))
-3*e                          
------------------------------
       -log(3) + log(2)
$$- \frac{3 e^{\left(- x + 1\right) \left(- \log{\left (3 \right )} + \log{\left (2 \right )}\right)}}{- \log{\left (3 \right )} + \log{\left (2 \right )}}$$
Общее упрощение [src]
    -(-1 + x)*(-log(3) + log(2))
-3*e                            
--------------------------------
        -log(3) + log(2)
$$- \frac{3 e^{- \left(x - 1\right) \left(- \log{\left (3 \right )} + \log{\left (2 \right )}\right)}}{- \log{\left (3 \right )} + \log{\left (2 \right )}}$$
Собрать выражение [src]
  /    log(3)\           log(3) 
  |1 - ------|*(1 - x) + ------ 
  \    log(2)/           log(2) 
-2                              
--------------------------------
      /    log(3)\              
      |1 - ------|*log(2)       
      \    log(2)/
$$- \frac{2^{\left(- x + 1\right) \left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) + \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}}}}{\left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) \log{\left (2 \right )}}$$
Общий знаменатель [src]
         x*log(3)    
     -2*e            
---------------------
 x           x       
2 *log(2) - 2 *log(3)
$$- \frac{2 e^{x \log{\left (3 \right )}}}{- 2^{x} \log{\left (3 \right )} + 2^{x} \log{\left (2 \right )}}$$
Комбинаторика [src]
  log(3)           /    log(3)\ 
  ------ + (1 - x)*|1 - ------| 
  log(2)           \    log(2)/ 
-2                              
--------------------------------
        -log(3) + log(2)
$$- \frac{1}{- \log{\left (3 \right )} + \log{\left (2 \right )}} 2^{\left(- x + 1\right) \left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) + \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}}}$$
Раскрыть выражение [src]
  /    log(3)\           log(3) 
  |1 - ------|*(1 - x) + ------ 
  \    log(2)/           log(2) 
-2                              
--------------------------------
      /    log(3)\              
      |1 - ------|*log(2)       
      \    log(2)/
$$- \frac{2^{\left(- x + 1\right) \left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) + \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}}}}{\left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) \log{\left (2 \right )}}$$
  log(3)           /    log(3)\ 
  ------ + (1 - x)*|1 - ------| 
  log(2)           \    log(2)/ 
-2                              
--------------------------------
      /    log(3)\              
      |1 - ------|*log(2)       
      \    log(2)/
$$- \frac{2^{\left(- x + 1\right) \left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) + \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}}}}{\left(- \frac{\log{\left (3 \right )}}{\log{\left (2 \right )}} + 1\right) \log{\left (2 \right )}}$$