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Q: Which is most likely to be recorded in ship's log?
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What is the difference between log on and log in?

in most cases they are the same


Who log zero is infinity?

Log zero is not defined, and if it were defined, it would be more likely to be minus infinity than infinity.


Are prime numbers used in everyday life?

Yes they are most likely used in your everyday life- even if you don't realize it. Computers use prime numbers in the encryption techniques. If you log in to a website in secure mode, most likely prime numbers are being used, but you don't even know about it.


The product of 2 to the 6972593 power?

This goes way beyond the capabilities of most scientific calculators! You can calculate this with logarithms. I'll use base-10 logarithms. Call the result "x": x = 26972593 log x = log 26972593 log x = 6972593 log 2 log x = 6972593 times 0.30103 log x = 2099000 Now take antilogarithms: x = 102099000


How do you sole X when logx-3 plus logx-2 equals log2x plus 24?

We can't see the parentheses, and there are at least two ways to read this.Here are solutions for the most likely two:--------------------------------------------------------log(x) - 3 + log(x) - 2 = log(2x) + 24Add 5 to each side:log(x) + log(x) = log(2x) + 29Subtract log(2x) from each side:log(x) + log(x) - log(2x) = 29Combine the logs on the left side, and massage:log( x2/2x ) = log( x/2 ) = 29Take the antilog of each side:x/2 = 1029Multiply each side by 2:x = 2 x 1029------------------------------------------------log(x - 3) + log(x - 2) = log(2x + 24)Combine logs on the left side:log[ (x-3) (x-2) ] = log(2x + 24)Take antilog of each side:(x-3) (x-2) = 2x + 24Expand the left side:x2 - 5x +6 = 2x + 24Subtract (2x+24) from each side:x2 - 7x - 18 = 0Factor:(x - 9) (x + 2) = 0Whence:x = 9x = -2We have to discard the solution [ x = -2 ] because one term in the equationis log(x-2).If 'x' were -2 then we'd have log(-4) but negative numbers don't have logs.