math - Computing Value of n -


I am working to calculate the value of n for the following equations: -

  1. n! = 10 ^ 7 (What I have done so far for this calculation is n (n-1)! = 10 ^ 7. But how should I proceed further .. I have no idea)
  2. n ^ N = 10 ^ 9 (for this, I tried to log on both sides but the answers are not satisfactory)

    Help me in these computations for the value of N I want to My answer should be counted in the context of logs or powers.

    You will get upwards of 2 for 1.): 

     < Code> 10! = 3628800 & lt; 10 ^ 7 and lieutenant; 1 1! = 39 9 86800 - & gt; 10 & lt; N & lt; 11   
     and 2 for.):  
      9 ^ 9 = 38742048 9 & lt; 10 ^ 9 and lieutenant; 10 ^ 10 - & gt; 9 & lt; N & lt; 10   
     The exact result for 2  
      n = 9.295   
     is calculated as.

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