Two quantities P P\,P and Q Q\,Q are related, and the graph of log10P\log_{10} Plog10P against log10Q\log_{10} Qlog10Q is a straight line with gradient 1.5 which meets the vertical axis at 0.8.
Show that P P\,P and Q Q\,Q can be connected by the equation P=aQbP = aQ^bP=aQb and find the values of a a\,a and bbb, giving a a\,a to 3 significant figures.
104 exam-style questions on WJEC A Level Maths 1.6 Exponentials and logarithms, covering 1.6.1 Exponentials and logarithms, 1.6.2 Exponentials and logarithms, 1.6.3 Exponentials and logarithms, 1.6.4 Exponentials and logarithms, 1.6.5 Exponentials and logarithms, 1.6.6 Exponentials and logarithms, 1.6.7 Exponentials and logarithms, 1.6.8 Exponentials and logarithms, and 1.6.9 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.