SOLUTION: find the base when 4 is the logarithm of 144 {{{b^4=144}}}

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Question 702685: find the base when 4 is the logarithm of 144
b%5E4=144
Answer by josgarithmetic(39623) About Me  (Show Source):
You can put this solution on YOUR website!
Completely factor 144.

b%5E4=3%5E2%2A2%5E4

b%5E4=3%5E%281%2F2%29%2A3%5E%281%2F2%29%2A3%5E%281%2F2%29%2A3%5E%281%2F2%29%2A2%5E4

b%5E4=%283%5E%281%2F2%29%29%5E4%2A2%5E4

b%5E4=%283%5E%281%2F2%29%2A2%29%5E4
Taking (1/4) root of both sides,

b=3%5E%281%2F2%29%2A2