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x (log 555 – 2) = y (log 555 – 3) = 3 (Taking log to the base 10 on both sides). x = 3 / (log 555 – 2) and y = 3 / (log 555 – 3).
1/x – 1/y = (log 555 – 2 – log 555 + 3 ) / 3 = 1 / 3 which is the answer.

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PUT QUESTIONS OF LOGARITM THAT WERE ASKED IN JEE MAINS

Yes bro we need it really for next attempts!!

If 1/3×log(base3)M + 3×log(base3)N = 1+ log(base0.008)5 then which of these is true?

a) M^9 = 9/N

b) N^9 = 9/M

c) M^3 = 3/N

d) N^9 = 3/M

[CAT]

Option (b) is correct…

If (5.55)^x = (0.555)^y = 1000. Find the value of (1/x)-(1/y). [CAT]

x (log 555 – 2) = y (log 555 – 3) = 3 (Taking log to the base 10 on both sides). x = 3 / (log 555 – 2) and y = 3 / (log 555 – 3).

1/x – 1/y = (log 555 – 2 – log 555 + 3 ) / 3 = 1 / 3 which is the answer.

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