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Log(16)

Log (16) is the decimal logarithm of 16:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log(16) = 1.2041199826559.

Calculate Log 16

To solve the equation log (16) = x using a base distinct from 10 carry out the following steps.
  1. Apply the change of base rule:
    log a (x) = log b (x) / log b (a)
    With b = e:
    log a (x) = ln(x) / ln(a)
  2. Substitute the variables:
    With x = 16, a = 10:
    log (16) = ln(16) / ln(10)
  3. Evaluate the term:
    ln(16) / ln(10)
    = 8.74113642290101 / 2.30258509299405
    = 1.2041199826559
    = Decimal logarithm of 16

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 10 1.2041199826559 = 16
  • 10 1.2041199826559 = 16 is the exponential form of log(16)
  • 10 is the logarithm base of log(16)
  • 16 is the argument of log(16)
  • 1.2041199826559 is the exponent or power of 10 1.2041199826559 = 16
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

Log(16) = 1.2041199826559.
Carry out the change of base logarithm operation.
It means the logarithm of 16 with base 10.
Apply the change of base rule, substitute the variables, and evaluate the term.
The value is 1.2041199826559.
In exponential form is 10 1.2041199826559 = 16.
Decimal log of 16 = 1.2041199826559.

For further questions about the logarithm equation, common logarithms, the exponential function or the exponential equation fill in the form at the bottom.

Summary

In conclusion, log 16 = 1.2041199826559.

You now know everything about the decimal logarithm with argument 16 and exponent 1.2041199826559.
Further information, particularly about the binary logarithm, natural logarithm and decadic logarithm can be located in our article logarithm.

Besides the types of logarithms, there, we also shed a light on the terms on the properties of logarithms and the logarithm function, just to name a few.

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Table

Our quick conversion table is easy to use:
log(x) Value
log(15.5)=1.1903316981703
log(15.51)=1.1906117978136
log(15.52)=1.1908917169222
log(15.53)=1.1911714557286
log(15.54)=1.1914510144649
log(15.55)=1.1917303933629
log(15.56)=1.1920095926537
log(15.57)=1.1922886125681
log(15.58)=1.1925674533365
log(15.59)=1.1928461151888
log(15.6)=1.1931245983545
log(15.61)=1.1934029030624
log(15.62)=1.1936810295413
log(15.63)=1.1939589780192
log(15.64)=1.1942367487238
log(15.65)=1.1945143418825
log(15.66)=1.1947917577219
log(15.67)=1.1950689964686
log(15.68)=1.1953460583484
log(15.69)=1.1956229435869
log(15.7)=1.1958996524092
log(15.71)=1.19617618504
log(15.72)=1.1964525417034
log(15.73)=1.1967287226233
log(15.74)=1.197004728023
log(15.75)=1.1972805581256
log(15.76)=1.1975562131535
log(15.77)=1.1978316933289
log(15.78)=1.1981069988734
log(15.79)=1.1983821300083
log(15.8)=1.1986570869544
log(15.81)=1.1989318699322
log(15.82)=1.1992064791617
log(15.83)=1.1994809148624
log(15.84)=1.1997551772535
log(15.85)=1.2000292665538
log(15.86)=1.2003031829816
log(15.87)=1.2005769267548
log(15.88)=1.2008504980911
log(15.89)=1.2011238972074
log(15.9)=1.2013971243205
log(15.91)=1.2016701796466
log(15.92)=1.2019430634016
log(15.93)=1.2022157758011
log(15.94)=1.2024883170601
log(15.95)=1.2027606873932
log(15.96)=1.2030328870147
log(15.97)=1.2033049161385
log(15.98)=1.203576774978
log(15.99)=1.2038484637462
log(16)=1.2041199826559
log(16.01)=1.2043913319193
log(16.02)=1.2046625117482
log(16.03)=1.2049335223541
log(16.04)=1.2052043639481
log(16.05)=1.2054750367409
log(16.06)=1.2057455409427
log(16.07)=1.2060158767633
log(16.08)=1.2062860444124
log(16.09)=1.206556044099
log(16.1)=1.2068258760318
log(16.11)=1.2070955404192
log(16.12)=1.2073650374691
log(16.13)=1.207634367389
log(16.14)=1.2079035303861
log(16.15)=1.2081725266671
log(16.16)=1.2084413564386
log(16.17)=1.2087100199064
log(16.18)=1.2089785172763
log(16.19)=1.2092468487534
log(16.2)=1.2095150145426
log(16.21)=1.2097830148485
log(16.22)=1.2100508498751
log(16.23)=1.2103185198262
log(16.24)=1.2105860249052
log(16.25)=1.2108533653149
log(16.26)=1.2111205412581
log(16.27)=1.2113875529369
log(16.28)=1.2116544005532
log(16.29)=1.2119210843085
log(16.3)=1.212187604404
log(16.31)=1.2124539610403
log(16.32)=1.2127201544178
log(16.33)=1.2129861847367
log(16.34)=1.2132520521964
log(16.35)=1.2135177569963
log(16.36)=1.2137832993353
log(16.37)=1.2140486794119
log(16.38)=1.2143138974244
log(16.39)=1.2145789535705
log(16.4)=1.2148438480477
log(16.41)=1.2151085810531
log(16.42)=1.2153731527834
log(16.43)=1.2156375634351
log(16.44)=1.215901813204
log(16.45)=1.216165902286
log(16.46)=1.2164298308763
log(16.47)=1.2166935991698
log(16.48)=1.2169572073611
log(16.49)=1.2172206556445
log(16.5)=1.2174839442139

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