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

Find the logarithm of : 0.125 to the base 2

Find the logarithm of : `1/16` to the base 4

Find the logarithm of : 27 to the base 9

Find the logarithm of : `1/81` to the base 27

State, true or false : If log₁₀ x = a, then 10^x = a.

State, true or false : If x^y = z, then y = log_zx .

State, true or false : log₂ 8 = 3 and log₈ = 2 = `1/3`

Find x, if : log₃ x = 0

Find x, if : log_x 2 = - 1.

Find x, if : log₉243 = x

Find x, if : log₅ (x - 7) = 1

Find x, if : log₄32 = x - 4

Find x, if : log₇ (2x² - 1) = 2

Evaluate : log₁₀ 0.01

Evaluate : log₂ ( 1 ÷ 8 )

Evaluate : log₅ 1

Evaluate : log₅ 125

Evaluate : log₁₆ 8

Evaluate : log_0.5 16

If log_a m = n, express a^{n - 1} in terms of a and m.