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

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.

Given log₂ x = m. Express 2^{m - 3}  in terms of x.

Given log₅ y = n. Express 5^{3n + 2} in terms of y.

If log₂x = a  and log₃ y = a, write 72^a in terms of x and y.

Solve for x:

log(x - 1) + log (x + 1) = log₂1

If log (x² - 21) = 2, show that x = ± 11.

In triangle ABC, D is a point in AB such that AC = CD = DB. If ∠B = 28°, find the angle ACD.

ABC is an equilateral triangle. Its side BC is produced up to point E such that C is mid-point of BE. Calculate the measure of angles ACE and AEC.