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

Express in terms of log 2 and log 3 : log 36

Express in terms of log 2 and log 3:

log 144

Express in terms of log 2 and log 3 : log 4.5

Express in terms of log 2 and log 3: 

`log26/51 - log91/119`

Express in terms of log 2 and log 3 :
`"log"75/16 - 2"log"5/9 + "log"32/243`

Express the following in a form free from logarithm:

2 log x - log y = 1

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:
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