+0  
 
0
1305
5
avatar+77 

Find how many digits the base eleven number 11(8^5)has when written in base eleven.

 Feb 24, 2018
 #1
avatar+37146 
0

From an online calculator @ PlanetCalc:   See discussion below

 Feb 25, 2018
edited by ElectricPavlov  Feb 26, 2018
 #2
avatar
0

EP: I think her question may be:11^(8^5) ??.

 Feb 25, 2018
 #3
avatar+37146 
0

See answer below !   D'Oh!  

ElectricPavlov  Feb 25, 2018
edited by ElectricPavlov  Feb 25, 2018
edited by ElectricPavlov  Feb 26, 2018
edited by ElectricPavlov  Feb 26, 2018
edited by ElectricPavlov  Feb 26, 2018
 #4
avatar
0

EP: If it is: 11^(8^5) =11^(32,768) =32,768 x log(11) =34,124.355.....=34,125 decimal digits.

Putting it into Wolfram/Alpha gives: a.aaaaaaaaaaaaa..._11×11^32767 =32,768 digits in base 11.

 Feb 25, 2018
 #5
avatar+37146 
0

Thanx, G.....    My GUESS was pretty close.....NOT!

ElectricPavlov  Feb 26, 2018

3 Online Users