What is the smallest power of 10 that would exceed 987,654,321,098,765,432?

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Answer 1 · 2017-09-16T12:48:32

18

This is for integer power of 10.

#10^x = 987654321098765432#

Taking logs to base 10 of both sides:

#x log(10) = log(987654321098765432)#

Divide both sides by log(10):
#(log(10) = 1 )#

# x = log(987654321098765432)

#x = 17.994604968162151966# (18 d.p)

This is the value for equality so nearest integer to exceed this will be 18