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Log 5 (31)

Log 5 (31) is the logarithm of 31 to the base 5:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (31) = 2.1336562149773.

Calculate Log Base 5 of 31

To solve the equation log 5 (31) = x carry out the following steps.
  1. Apply the change of base rule:
    log a (x) = log b (x) / log b (a)
    With b = 10:
    log a (x) = log(x) / log(a)
  2. Substitute the variables:
    With x = 31, a = 5:
    log 5 (31) = log(31) / log(5)
  3. Evaluate the term:
    log(31) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 2.1336562149773
    = Logarithm of 31 with base 5
Here’s the logarithm of 5 to the base 31.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 2.1336562149773 = 31
  • 5 2.1336562149773 = 31 is the exponential form of log5 (31)
  • 5 is the logarithm base of log5 (31)
  • 31 is the argument of log5 (31)
  • 2.1336562149773 is the exponent or power of 5 2.1336562149773 = 31
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log5 31?

Log5 (31) = 2.1336562149773.

How do you find the value of log 531?

Carry out the change of base logarithm operation.

What does log 5 31 mean?

It means the logarithm of 31 with base 5.

How do you solve log base 5 31?

Apply the change of base rule, substitute the variables, and evaluate the term.

What is the log base 5 of 31?

The value is 2.1336562149773.

How do you write log 5 31 in exponential form?

In exponential form is 5 2.1336562149773 = 31.

What is log5 (31) equal to?

log base 5 of 31 = 2.1336562149773.

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 base 5 of 31 = 2.1336562149773.

You now know everything about the logarithm with base 5, argument 31 and exponent 2.1336562149773.
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.
Thanks for visiting Log5 (31).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(30.5)=2.1235529853056
log 5(30.51)=2.1237566682887
log 5(30.52)=2.1239602845234
log 5(30.53)=2.1241638340533
log 5(30.54)=2.1243673169222
log 5(30.55)=2.1245707331737
log 5(30.56)=2.1247740828513
log 5(30.57)=2.1249773659988
log 5(30.58)=2.1251805826595
log 5(30.59)=2.1253837328769
log 5(30.6)=2.1255868166946
log 5(30.61)=2.1257898341558
log 5(30.62)=2.1259927853039
log 5(30.63)=2.1261956701823
log 5(30.64)=2.1263984888342
log 5(30.65)=2.1266012413028
log 5(30.66)=2.1268039276314
log 5(30.67)=2.1270065478629
log 5(30.68)=2.1272091020406
log 5(30.69)=2.1274115902075
log 5(30.7)=2.1276140124066
log 5(30.71)=2.1278163686808
log 5(30.72)=2.1280186590731
log 5(30.73)=2.1282208836264
log 5(30.74)=2.1284230423836
log 5(30.75)=2.1286251353873
log 5(30.76)=2.1288271626805
log 5(30.77)=2.1290291243057
log 5(30.78)=2.1292310203057
log 5(30.79)=2.1294328507231
log 5(30.8)=2.1296346156005
log 5(30.81)=2.1298363149805
log 5(30.82)=2.1300379489056
log 5(30.83)=2.1302395174181
log 5(30.84)=2.1304410205607
log 5(30.85)=2.1306424583755
log 5(30.86)=2.1308438309051
log 5(30.87)=2.1310451381917
log 5(30.88)=2.1312463802775
log 5(30.89)=2.1314475572048
log 5(30.9)=2.1316486690158
log 5(30.91)=2.1318497157526
log 5(30.92)=2.1320506974572
log 5(30.93)=2.1322516141718
log 5(30.94)=2.1324524659384
log 5(30.95)=2.132653252799
log 5(30.96)=2.1328539747954
log 5(30.97)=2.1330546319696
log 5(30.98)=2.1332552243635
log 5(30.99)=2.1334557520188
log 5(31)=2.1336562149773
log 5(31.01)=2.1338566132808
log 5(31.02)=2.1340569469709
log 5(31.03)=2.1342572160894
log 5(31.04)=2.1344574206777
log 5(31.05)=2.1346575607776
log 5(31.06)=2.1348576364304
log 5(31.07)=2.1350576476778
log 5(31.08)=2.1352575945611
log 5(31.09)=2.1354574771218
log 5(31.1)=2.1356572954012
log 5(31.11)=2.1358570494407
log 5(31.12)=2.1360567392816
log 5(31.13)=2.1362563649651
log 5(31.14)=2.1364559265325
log 5(31.15)=2.1366554240248
log 5(31.16)=2.1368548574833
log 5(31.17)=2.137054226949
log 5(31.18)=2.137253532463
log 5(31.19)=2.1374527740663
log 5(31.2)=2.1376519517999
log 5(31.21)=2.1378510657046
log 5(31.22)=2.1380501158215
log 5(31.23)=2.1382491021914
log 5(31.24)=2.138448024855
log 5(31.25)=2.1386468838532
log 5(31.26)=2.1388456792267
log 5(31.27)=2.1390444110162
log 5(31.28)=2.1392430792624
log 5(31.29)=2.1394416840058
log 5(31.3)=2.1396402252871
log 5(31.31)=2.1398387031468
log 5(31.32)=2.1400371176255
log 5(31.33)=2.1402354687635
log 5(31.34)=2.1404337566013
log 5(31.35)=2.1406319811793
log 5(31.36)=2.1408301425379
log 5(31.37)=2.1410282407174
log 5(31.38)=2.1412262757579
log 5(31.39)=2.1414242476999
log 5(31.4)=2.1416221565834
log 5(31.41)=2.1418200024487
log 5(31.42)=2.1420177853357
log 5(31.43)=2.1422155052848
log 5(31.44)=2.1424131623358
log 5(31.45)=2.1426107565287
log 5(31.46)=2.1428082879036
log 5(31.47)=2.1430057565004
log 5(31.48)=2.143203162359
log 5(31.49)=2.1434005055192
log 5(31.5)=2.1435977860207

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