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Pengguna:Dedhert.Jr/Uji halaman 01/16: Perbedaan antara revisi

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Baris 181:
:<math>^{10}\!\log 3542 \approx 3 + ^{10}\!\log 3,54 + 0,2(\, ^{10}\!\log 3,55 - \,^{10}\!\log 3,54)</math>
 
Nilai <math>10^x</math> dapat ditentukan dengan pencarian terbalik pada tabel yang sama, karena logaritma merupakan [[fungsi monotonikmonoton]].
 
=== ComputationsPerhitungan ===
TheHasil productkali andatau quotienthasil ofbagi twodari positivedua numbersbilangan positif {{Mvar|c}} anddan ''{{Mvar|d}}'' werebiasanya routinelydihitung calculatedsebagai aspenambahan thedan sumpengurangan and difference of their logarithmslogaritma. TheHasil productkali&nbsp;{{Math|''cd''}} orberasal quotientdari antilogaritma dari penambahan dan hasil bagi&nbsp;{{Math|{{sfrac|1=''c''/|2=''d''}}}} cameberasal fromdari lookingantilogaritma updari thepengurangan, antilogarithm of the sum or difference,melalui viatabel thelogaritma samedi tableatas:
 
: <math> cd = 10^{\, \log_^{10}\!\log c} \, 10^{\,\log_^{10}\!\log d} = 10^{\,\log_^{10}\!\log c \, + \, \log_^{10}\!\log d}</math>
 
dan
and
 
: <math>\frac c d = c d^{-1} = 10^{\, \log_^{10}\!\log c \, - \, \log_^{10}\!\log d}.</math>
 
For manual calculations that demand any appreciable precision, performing the lookups of the two logarithms, calculating their sum or difference, and looking up the antilogarithm is much faster than performing the multiplication by earlier methods such as [[prosthaphaeresis]], which relies on [[trigonometric identities]].
Baris 203:
 
Trigonometric calculations were facilitated by tables that contained the common logarithms of [[Trigonometric function|trigonometric functions]].
 
 
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