The expression 8 log base 8 of 19 can be rewritten as log base 8 of 19 raised to the 8th power. This is because the logarithm function is the inverse of the exponentiation function. Therefore, 8 log base 8 of 19 simplifies to log base 8 of 19^8.
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Well, darling, to convert 19 in base 10 to base 8, you divide 19 by 8 to get 2 with a remainder of 3. Then you take that remainder and slap it in front of the 2 to get 23 in base 8. Voila! Math made fabulous.
log base e = ln.
let's look at log base 2 (x)=8, that means 2^x=8 so x=3 in general if b^y=x, then log base b (x)=y if the base is 1, then we have 1^y=x, but 1^y=1 for all y so it does not work..
2 log(x) = log(8)log(x2) = log(8)x2 = 8x = sqrt(8) = 2.82843 (rounded)Note that only the positive square root of 8 can serve as a solution to thegiven equation, since there's no such thing as the log of a negative number.
Without using table or calculator evaluate log 25 base 5