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

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 

Solve for x : ` (log 64)/(log 8)` = log x

If log₁₀2 = a and log₁₀3 = b; express each of the following in terms of 'a' and 'b' : log 60

If log₁₀2 = a and log₁₀3 = b; express each of the following in terms of 'a' and 'b' :  log `3 1/8`

State, true or false : log 1 x log 1000 = 0

State, true or false : 
`log x/log y` = log x - log y

State, true or false : 
If `log 25/log 5 = log x`, then x = 2.

State, true or false : 
log x x log y = log x + log y

Given that log x = m + n and log y = m - n, express the value of log ` ( 10x  ) / ( y ^ 2  )`  in terms of m and n.

If log₁₀ 8 = 0.90, find the value of:

log₁₀ 4

If the following pair of the triangle is congruent? state the condition of congruency : 
In Δ ABC and Δ DEF, AB = DE, BC = EF and ∠ B = ∠ E.

Use the information in the given figure to prove:

1. AB = FE
2. BD = CF 

If the following pair of the triangle is congruent? state the condition of congruency: 

In ΔABC and ΔQRP, AB = QR, ∠B = ∠R and ∠C = P.

If the following pair of the triangle is congruent? state the condition of congruency: 

In ΔABC and ΔPQR, AB = PQ, AC = PR, and BC = QR.