It is given that y=log2xy = \log_2 xy=log2x.
Find expressions in terms of y y\,y for each of the following.
log2x2\log_2 x^2log2x2
log22x\log_2 2xlog22x
log8x\log_8 xlog8x
62 exam-style questions on AQA A Level Maths 1.9 F: Exponentials and logarithms, covering 1.9.1 Exponential functions and their graphs, 1.9.2 Gradient of e^kx (A-level only), 1.9.3 Logarithms as inverse functions, 1.9.4 Laws of logarithms, 1.9.5 Solving exponential equations, 1.9.6 Logarithmic graphs to estimate parameters (A-level only), and 1.9.7 Exponential growth and decay. Each one has a worked solution and a mark scheme showing where the marks go.