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

Solve for x: `("log"289)/("log"17)` = logx

Express log₁₀3 + 1 in terms of log₁₀x.

State, true of false:
log_ba =-log_ab

State, true of false:

If `("log"49)/("log"7)` = log y, then y = 100.

If log x = a and log y = b, write down
10^a-1 in terms of x

If log x = a and log y = b, write down
10^2b in terms of y

If log ₃ m = x and log ₃ n = y, write down
3^2x-3 in terms of m

If log ₃ m = x and log ₃ n = y, write down
`3^(1-2y+3x)` in terms of m an n

Find x and y, if `("log"x)/("log"5) = ("log"36)/("log"6) = ("log"64)/("log"y)`

If `"log" x^2 - "log"sqrt(y)` = 1, express y in terms of x. Hence find y when x = 2.

If 2 log x + 1 = log 360, find: x

If 2 log x + 1 = log 360, find: log(2 x -2)

If 2 log x + 1 = log 360, find: log (3 x² - 8)

If x + log 4 + 2 log 5 + 3 log 3 + 2 log 2 = log 108, find the value of x.

If a = `"log" 3/5, "b" = "log" 5/4 and "c" = 2 "log" sqrt(3/4`, prove that 5^a+b-c = 1

Express the following in a form free from logarithm:
3 log x - 2 log y = 2

Express the following in a form free from logarithm:
2 log x + 3 log y = log a

Express the following in a form free from logarithm:
m log x - n log y = 2 log 5

Express the following in a form free from logarithm:
`2"log" x + 1/2"log" y` = 1

Express the following in a form free from logarithm:
5 log m - 1 = 3 log n