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

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

Evaluate  the following without using tables : 
log 5 + log 8 - 2 log 2

Evaluate the following without using tables : 
log₁₀8 + log₁₀25 + 2 log₁₀3 - log₁₀18

Evaluate the following without using tables :
log 4 + `1/3` log 125 - `1/5`log 32 

Prove that : `2"log" 15/18 - "log"25/162 + "log"4/9 = log 2 `

Find x, if : x - log 48 + 3 log 2 = `1/3`log 125 - log 3.

Express log₁₀2 + 1 in the form of log₁₀x .

Solve for x : log₁₀ (x - 10) = 1

Solve for x : log (x² - 21) = 2.

Solve for x :  log (x - 2) + log (x + 2) = log 5

Solve for x : log (x + 5) + log (x - 5) = 4 log 2 + 2 log 3

Solve for x :  `(log 81)/(log27 )` = x 

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 3.6

If log 2 = 0.3010 and log 3 = 0.4771; find the value of : log 25

If log 2 = 0.3010 and log 3 = 0.4771; find the value of:

`2/3` log 8

Solve for x : ` ( log 128) / ( log 32 ) ` = x

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b': log 12

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b': log `2 1/4`

Solve for x :
`log 225/log15` = log x

If log₁₀2 = a and log₁₀3 = b ; express each of the following in terms of 'a' and 'b' : log 5.4