Quiz

Indices, Surds & Logarithms

Given that x = lg a is a solution of the equation

102x+1 - 7 (10x) = 26,

find the value of a.

Answer

Solve the equation

log2x - 4 logx16 = 0

Answer

Solve the equation

32x+1 - 2 (3x+0.5) - 3 = 0

Answer

Solve the equation

(ln x)2 = ln x2

Answer

Solve the equation

2 (7x-1) = 5x

Answer

If log2a + log2b = 4, show that log4ab = 2 and that log8ab = 4/3.