Question Library

Solve the equation Log\(_2\)x + 3Log\(_2\)x = 16

Simplify - log\(_{10}\) 0.00001.

If log\(_{10}\)x = 2.3675 and log\(_{10}\)y = 2.9738, what is the value of x + y, correct to three significant figures

Find the value of y, if log (y + 8) + log (y - 8) = 2log 3 + 2log 5

Solve the logarithmic equation: \(log_2 (6 - x) = 3 - log_2 x\)

Solve: \(log_3 x + log_3 (x - 8) = 2\)

Evaluate Log\(_2\) 8√2

Given that log\(_3\) 27 = 2x + 1, find the value of x.

Simplify 2log \(\frac{2}{5}\) - log\(\frac{72}{125}\) + log 9

Find x if log\(_9\)x = 1.5

If log\(_{10}\) 2 = m and log\(_{10}\) 3 = n, find log\(_{10}\) 24 in terms of m and n.

(a) Limes Apples Good 10 8 Bad 6 6 The table shows the number of limes and apples of the same size in a bag. If two of the fruits are picked at random, one at a time, without replacement, find the probability that : (i) both are good limes ; (ii) both are bad fruits ; (iii) one is a good apple and the other a bad lime. (b) Solve the equation \(\log_{3} (4x + 1) - \log_{3} (3x - 5) = 2\).