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If log 2=0.301 and log 3=0.477, find the...

If log 2=0.301 and log 3=0.477, find the number of digit in `6^20`.

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Suppose U denotes the number of digits in the number (60)^(100) and M denotes the number of cyphers after decimal, before a significant figure comes in (8)^(-296) . If the fraction U/M is expressed as rational number in the lowest term as p//q (given log_(10)2=0.301 and log_(10)3=0.477 ) . The value of q is