Reference Data on Logarithms


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A Short Table of Logarithms

x log10x
1.0000.000
1.5000.176
2.0000.301
2.5000.398
3.000 0.477
3.500 0.544
4.000 0.602
4.500 0.653
5.000 0.699
5.500 0.740
6.000 0.778
6.500 0.813
7.000 0.845
7.500 0.875
8.000 0.903
8.500 0.929
9.000 0.954
9.500 0.978
10.000 1.000

Constants

Constant Value
e 2.718
log10e 0.434
log102 0.301
log2e 1.443
loge2 0.693
loge10 2.303
log210 3.322

Logarithmic Identities

Identity Example of Use
ay = x means y = logax 100.301 = 2.00
log ab = log a + log b log 150 = log 100 + log 1.5= 2 + 0.176 = 2.176
log an = n log a log sqrt(2) = ½ (log 2) = 0.150
logab = logcb / logca loge 2 = log102/log10e= 0.301/.434 = 0.693

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Comments to Dr. Ernst W. Grundke