How many decimal digits are there in 2^(d)?

log x = y, such that 10^(y) = x.

From math class, 2^(d) = 10 ^ d log(2)

10 ^ (d * log(2)) has (d * log(2)) digits.

By experimentation, 2^d = (d * log(2)) + 1 digits.

Advertisements

About James Johnson

I am an amateur mathematician & political theorist who enjoys (occasionally cerebral) humor.
This entry was posted in Uncategorized and tagged . Bookmark the permalink.

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s