Question

With a calculator, approximate logo 120 to 5 places after the decimal point. (a) Find log2 A, given that logg A = 7. (b) Find logų A, given that log; A = .2.

Answer 1

7 log b - 10gb Here given, 10g, 120 - 1 og 120 da - Toga / log 6 = 2.67195 (approximating to 25 places after decimal point) Therefore required 62 = 2.67195 Copproximating to 5 places after decimal point). (a) Here given, logA =T 7 87 = A Tan = M =109am 7 where ayo, Myo, at Now, by definition of log. 10927 = 109 87 = 5 1078 [:log mn nlogM] - 7 10523 [23 = 2x2x2=8] = 30 1072 [:logma-n10797 = 35x 1 [:109. a = 17 = 3T Therefore required 107 A = 30 (b) Here given,.. " 109 A = 2 32 = Oran=Mx=109am 2 where ayo, Myo azil by definition of log. Now, Now, log, A = log, 32 -0. 2x109, 3 [: 10gm = n10797 -7:107ab = 1096 -0.2 x 10g 3 loga / = 0.2x 1093 [1109azloga - 1036] 09 10g1- 1093 -0.2 x 1093 on T1109107 0=1093 = -0.2 [:7091-07 Therefore rernired log A=-0.2.