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

Simplify the following:

`(2^"m" xx 3 - 2^"m")/(2^("m" + 4) - 2^("m" + 1)`

Simplify the following:

`(5^("n" + 2) - 6.5^("n" + 1))/(13.5^"n" - 2.5^("n" + 1)`

Express the following in the exponential form:
log₂ 128 = 7

Express the following in the exponential form:
log₃ 81 = 4

Express the following in the exponential form:
log₁₀ 0.001 = -3

Express the following in the exponential form:

`"log"_2 (1)/(32)` = -5

Express the following in the exponential form:
log_b a = c

Express the following in the exponential form:

`"log"_2 (1)/(2)` = -1

Express the following in the exponential form:
log₅ a = 3

Express the following in the exponential form:
`"log"_sqrt(3)` 27 = 6

Express the following in the exponential form:

`"log"_25 sqrt(5) = (1)/(4)`

Express the following in the exponential form:
q = log_a p

Express the following in the exponential form:
`"log"_sqrt(6) (6sqrt(6))` = 3

Express the following in the exponential form:
-2 = log₂ 0.25

Find x in the following when: log _x 49 = 2

Find x in the following when: log _x 125 = 3

Find x in the following when: log _x 243 = 5

Find x in the following when: log ₈ x = `(2)/(3)`

Find x in the following when: log ₇ x = 3

Find x in the following when: log ₄ x = -4