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Log 5 (32)

Log 5 (32) is the logarithm of 32 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 (32) = 2.153382790367.

Calculate Log Base 5 of 32

To solve the equation log 5 (32) = 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 = 32, a = 5:
    log 5 (32) = log(32) / log(5)
  3. Evaluate the term:
    log(32) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 2.153382790367
    = Logarithm of 32 with base 5
Here’s the logarithm of 5 to the base 32.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 2.153382790367 = 32
  • 5 2.153382790367 = 32 is the exponential form of log5 (32)
  • 5 is the logarithm base of log5 (32)
  • 32 is the argument of log5 (32)
  • 2.153382790367 is the exponent or power of 5 2.153382790367 = 32
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 32?

Log5 (32) = 2.153382790367.

How do you find the value of log 532?

Carry out the change of base logarithm operation.

What does log 5 32 mean?

It means the logarithm of 32 with base 5.

How do you solve log base 5 32?

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

What is the log base 5 of 32?

The value is 2.153382790367.

How do you write log 5 32 in exponential form?

In exponential form is 5 2.153382790367 = 32.

What is log5 (32) equal to?

log base 5 of 32 = 2.153382790367.

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 32 = 2.153382790367.

You now know everything about the logarithm with base 5, argument 32 and exponent 2.153382790367.
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 (32).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(31.5)=2.1435977860207
log 5(31.51)=2.1437950039035
log 5(31.52)=2.1439921592073
log 5(31.53)=2.1441892519717
log 5(31.54)=2.1443862822364
log 5(31.55)=2.1445832500411
log 5(31.56)=2.1447801554252
log 5(31.57)=2.1449769984285
log 5(31.58)=2.1451737790903
log 5(31.59)=2.1453704974502
log 5(31.6)=2.1455671535476
log 5(31.61)=2.1457637474219
log 5(31.62)=2.1459602791125
log 5(31.63)=2.1461567486587
log 5(31.64)=2.1463531560997
log 5(31.65)=2.1465495014749
log 5(31.66)=2.1467457848234
log 5(31.67)=2.1469420061844
log 5(31.68)=2.1471381655971
log 5(31.69)=2.1473342631006
log 5(31.7)=2.1475302987339
log 5(31.71)=2.147726272536
log 5(31.72)=2.147922184546
log 5(31.73)=2.1481180348028
log 5(31.74)=2.1483138233454
log 5(31.75)=2.1485095502125
log 5(31.76)=2.1487052154431
log 5(31.77)=2.1489008190759
log 5(31.78)=2.1490963611497
log 5(31.79)=2.1492918417034
log 5(31.8)=2.1494872607754
log 5(31.81)=2.1496826184047
log 5(31.82)=2.1498779146296
log 5(31.83)=2.1500731494889
log 5(31.84)=2.1502683230211
log 5(31.85)=2.1504634352646
log 5(31.86)=2.1506584862581
log 5(31.87)=2.1508534760399
log 5(31.88)=2.1510484046484
log 5(31.89)=2.151243272122
log 5(31.9)=2.1514380784991
log 5(31.91)=2.1516328238179
log 5(31.92)=2.1518275081167
log 5(31.93)=2.1520221314337
log 5(31.94)=2.1522166938072
log 5(31.95)=2.1524111952752
log 5(31.96)=2.152605635876
log 5(31.97)=2.1528000156475
log 5(31.98)=2.1529943346278
log 5(31.99)=2.153188592855
log 5(32)=2.153382790367
log 5(32.01)=2.1535769272017
log 5(32.02)=2.1537710033971
log 5(32.03)=2.1539650189911
log 5(32.04)=2.1541589740214
log 5(32.05)=2.1543528685259
log 5(32.06)=2.1545467025423
log 5(32.07)=2.1547404761083
log 5(32.08)=2.1549341892618
log 5(32.09)=2.1551278420402
log 5(32.1)=2.1553214344812
log 5(32.11)=2.1555149666225
log 5(32.12)=2.1557084385016
log 5(32.13)=2.1559018501559
log 5(32.14)=2.156095201623
log 5(32.15)=2.1562884929404
log 5(32.16)=2.1564817241453
log 5(32.17)=2.1566748952753
log 5(32.18)=2.1568680063676
log 5(32.19)=2.1570610574596
log 5(32.2)=2.1572540485885
log 5(32.21)=2.1574469797916
log 5(32.22)=2.1576398511061
log 5(32.23)=2.1578326625691
log 5(32.24)=2.1580254142178
log 5(32.25)=2.1582181060893
log 5(32.26)=2.1584107382206
log 5(32.27)=2.1586033106488
log 5(32.28)=2.1587958234108
log 5(32.29)=2.1589882765437
log 5(32.3)=2.1591806700843
log 5(32.31)=2.1593730040696
log 5(32.32)=2.1595652785365
log 5(32.33)=2.1597574935216
log 5(32.34)=2.1599496490619
log 5(32.35)=2.1601417451941
log 5(32.36)=2.1603337819549
log 5(32.37)=2.1605257593809
log 5(32.38)=2.160717677509
log 5(32.39)=2.1609095363756
log 5(32.4)=2.1611013360173
log 5(32.41)=2.1612930764708
log 5(32.42)=2.1614847577725
log 5(32.43)=2.1616763799589
log 5(32.44)=2.1618679430665
log 5(32.45)=2.1620594471317
log 5(32.46)=2.1622508921909
log 5(32.47)=2.1624422782803
log 5(32.48)=2.1626336054365
log 5(32.49)=2.1628248736955
log 5(32.5)=2.1630160830937
log 5(32.51)=2.1632072336673

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