Re: number of digits in n^p

*To*: mathgroup at smc.vnet.net*Subject*: [mg60463] Re: [mg60415] number of digits in n^p*From*: "Ingolf Dahl" <ingolf.dahl at telia.com>*Date*: Sat, 17 Sep 2005 02:31:45 -0400 (EDT)*Reply-to*: <ingolf.dahl at telia.com>*Sender*: owner-wri-mathgroup at wolfram.com

Not extremely difficult! The function (Floor[Log[10, x]] + 1) gives the number of digits (before the decimal point) of a positive number. Use the logarithm laws to obtain digitsofpower[n_Integer /; n > 0, p_Integer /; p >= 0] := Floor[p*Log[10,n]]+ 1 E.g. digitsofpower[67, 89] returns 163 Best regards Ingolf Dahl Sweden -----Original Message----- From: George [mailto:orangepi77 at yahoo.com] To: mathgroup at smc.vnet.net Subject: [mg60463] [mg60415] number of digits in n^p i wonder if there is a formula, a function, or a method in mathematica to know the number of digits in n raised to the power of p without calculating the result, such as 67^89 will give us a number with 163 digits in it, is there a way to know this result without actually calculating 67^89 thanks George __________________________________________________ Do You Yahoo!? Tired of spam? Yahoo! Mail has the best spam protection around http://mail.yahoo.com