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

Express the following in terms of log 5 and/or log 2: log500

Express the following in terms of log 5 and/or log 2: log250

Express the following in terms of log 2 and log 3: `"log" root(3)(144)`

Express the following in terms of log 2 and log 3: `"log"root(5)(216)`

Express the following in terms of log 2 and log 3: `"log" root(4)(648)`

Express the following in terms of log 2 and log 3: `"log"(26)/(51) - "log"(91)/(119)`

Express the following in terms of log 2 and log 3: `"log"(225)/(16) - 2"log"(5)/(9) + "log"(2/3)^5`

Write the logarithmic equation for:

F = `"G"("m"_1"m"_2)/"d"^2`

Write the logarithmic equation for:

E = `(1)/(2)"m v"^2`

Write the logarithmic equation for: 

n = `sqrt(("M"."g")/("m".l)`

Write the logarithmic equation for: 

V = `(1)/("D"l) sqrt("T"/(pi"r")`

Write the logarithmic equation for:

V = `(4)/(3)pi"r"^3`

Express the following as a single logarithm:
log 18 + log 25 - log 30

Express the following as a single logarithm:
log 144 - log 72 + log 150 - log 50

Express the following as a single logarithm:

`2  "log"  3 - (1)/(2) "log"  16 + "log"  12`

Express the following as a single logarithm:

`2 + 1/2 "log"  9 - 2  "log"  5`

Express the following as a single logarithm:

`2"log"(9)/(5) - 3"log"(3)/(5) + "log"(16)/(20)`

Express the following as a single logarithm:

`2"log"(15)/(18) - "log"(25)/(162) + "log"(4)/(9)`

Express the following as a single logarithm:

`2"log" (16)/(25) - 3 "log" (8)/(5) + "log" 90`

Express the following as a single logarithm:

`(1)/(2)"log"25 - 2"log"3 + "log"36`