(English Medium) ICSE Class 9 - CISCE Question Bank Solutions

If log x = A + B and log y = A-B, express the value of `"log" x^2/(10y)` in terms of A and B.

If 2 log x + 1 = 40, find: x

If 2 log x + 1 = 40, find: log 5x

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀5

If log₁₀25 = x and log₁₀27 = y; evaluate without using logarithmic tables, in terms of x and y: log₁₀3

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log18

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log45

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: log540

If log 2 = 0.3010, log 3 = 0.4771 and log 5 = 0.6990, find the values of: `"log" sqrt(72)`

If 2 log y - log x - 3 = 0, express x in terms of y.

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log60

If log 2 = x and log 3 = y, find the value of each of the following on terms of x and y: log1.2

If log 4 = 0.6020, find the value of each of the following: log8

If log 4 = 0.6020, find the value of each of the following: log2.5

If log 8 = 0.90, find the value of each of the following: log4

If log 8 = 0.90, find the value of each of the following: `"log"sqrt(32)`

If log 27 = 1.431, find the value of the following: log 9

If log 27 = 1.431, find the value of the following: log300

If x² + y² = 6xy, prove that `"log"((x - y)/2) = (1)/(2)` (log x + log y)

If x² + y² = 7xy, prove that `"log"((x - y)/3) = (1)/(2)` (log x + log y)