The total cost, CCC, of manufacturing q q\,q units of a specialized product is modeled by the equation C=aqnC = aq^nC=aqn, where a a\,a and n n\,n are constants.
Show that this relationship can be written in the form logC=loga+nlogq\log C = \log a + n \log qlogC=loga+nlogq.
104 exam-style questions on OCR A Level Maths 1.6 Exponentials and Logarithms, covering 1.6.1 Properties of the exponential function, 1.6.2 Gradient of e^(kx) (A-level only), 1.6.3 Definition of the logarithm, 1.6.4 The natural logarithm function, 1.6.5 ln x as inverse of e^x, 1.6.6 Laws of logarithms, 1.6.7 Equations involving exponentials, 1.6.8 Reduction to linear form, and 1.6.9 Modelling using exponential functions. Each one has a worked solution and a mark scheme showing where the marks go.