Transcription of C2Logarithms - Mathshelper
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C2Logarithms - Mathshelper
C2 LogarithmsPatrons are reminded that if you see a log with no base then it means log10. For example log 7 log107. You are also reminded that if you have a number which is not alog (3, say) and you wantto write it in terms of a logarithm then this is how to do it:3=3 1=3 logaa=loga(a3).1. Write down (without a calculator) the value of the following logarithms:(a) (b) (c) (d) (e) log10(1100). 2(f ) log2(116). 4(g) loga(a6).6(h) log a(a2).42. State (without a calculator) twoconsecutiveintegers that the following logarithms lie between:(a) (b) (c) (d) 1and03. Express the following as a single logarithm:(a) logax+loga(x2).logax3(b) log2(x3) log2(x2).log2x(c) logca+logc(ab).logca2b(d) 2 logx+3 (e) 2 log5x log5y+ (x2zy)(f ) 2 log7(s2) 3 log7(s3)+5 (t5s5)(g) loga 3 logb 7 logc+ (10ab3c7)(h) 2 logap+logaq 7 logar (p2qa3r7)4.
13. A firm is testing two types of scrubbing brush by using a machine that keeps the brushes in continuous action. (a) The first brush starts with 2000 bristles and …
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