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Log 5 (6)

Log 5 (6) is the logarithm of 6 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 (6) = 1.1132827525594.

Calculate Log Base 5 of 6

To solve the equation log 5 (6) = 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 = 6, a = 5:
    log 5 (6) = log(6) / log(5)
  3. Evaluate the term:
    log(6) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 1.1132827525594
    = Logarithm of 6 with base 5
Here’s the logarithm of 5 to the base 6.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 1.1132827525594 = 6
  • 5 1.1132827525594 = 6 is the exponential form of log5 (6)
  • 5 is the logarithm base of log5 (6)
  • 6 is the argument of log5 (6)
  • 1.1132827525594 is the exponent or power of 5 1.1132827525594 = 6
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 6?

Log5 (6) = 1.1132827525594.

How do you find the value of log 56?

Carry out the change of base logarithm operation.

What does log 5 6 mean?

It means the logarithm of 6 with base 5.

How do you solve log base 5 6?

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

What is the log base 5 of 6?

The value is 1.1132827525594.

How do you write log 5 6 in exponential form?

In exponential form is 5 1.1132827525594 = 6.

What is log5 (6) equal to?

log base 5 of 6 = 1.1132827525594.

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 6 = 1.1132827525594.

You now know everything about the logarithm with base 5, argument 6 and exponent 1.1132827525594.
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 (6).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(5.5)=1.0592195443316
log 5(5.51)=1.0603482184559
log 5(5.52)=1.0614748460258
log 5(5.53)=1.0625994344496
log 5(5.54)=1.0637219910956
log 5(5.55)=1.0648425232921
log 5(5.56)=1.0659610383279
log 5(5.57)=1.0670775434523
log 5(5.58)=1.0681920458759
log 5(5.59)=1.0693045527704
log 5(5.6)=1.070415071269
log 5(5.61)=1.0715236084668
log 5(5.62)=1.072630171421
log 5(5.63)=1.0737347671511
log 5(5.64)=1.0748374026394
log 5(5.65)=1.0759380848308
log 5(5.66)=1.0770368206335
log 5(5.67)=1.0781336169193
log 5(5.68)=1.0792284805234
log 5(5.69)=1.0803214182451
log 5(5.7)=1.0814124368477
log 5(5.71)=1.0825015430592
log 5(5.72)=1.0835887435721
log 5(5.73)=1.0846740450437
log 5(5.74)=1.0857574540969
log 5(5.75)=1.0868389773196
log 5(5.76)=1.0879186212655
log 5(5.77)=1.0889963924544
log 5(5.78)=1.0900722973718
log 5(5.79)=1.0911463424699
log 5(5.8)=1.0922185341675
log 5(5.81)=1.09328887885
log 5(5.82)=1.0943573828701
log 5(5.83)=1.0954240525477
log 5(5.84)=1.09648889417
log 5(5.85)=1.0975519139923
log 5(5.86)=1.0986131182375
log 5(5.87)=1.099672513097
log 5(5.88)=1.1007301047303
log 5(5.89)=1.1017858992657
log 5(5.9)=1.1028399028001
log 5(5.91)=1.1038921213997
log 5(5.92)=1.1049425610997
log 5(5.93)=1.1059912279049
log 5(5.94)=1.1070381277895
log 5(5.95)=1.108083266698
log 5(5.96)=1.1091266505444
log 5(5.97)=1.1101682852135
log 5(5.98)=1.1112081765601
log 5(5.99)=1.1122463304099
log 5(6)=1.1132827525594
log 5(6.01)=1.1143174487761
log 5(6.02)=1.1153504247988
log 5(6.03)=1.1163816863378
log 5(6.04)=1.1174112390747
log 5(6.05)=1.1184390886632
log 5(6.06)=1.1194652407289
log 5(6.07)=1.1204897008696
log 5(6.08)=1.1215124746553
log 5(6.09)=1.1225335676289
log 5(6.1)=1.1235529853055
log 5(6.11)=1.1245707331737
log 5(6.12)=1.1255868166946
log 5(6.13)=1.1266012413028
log 5(6.14)=1.1276140124066
log 5(6.15)=1.1286251353873
log 5(6.16)=1.1296346156005
log 5(6.17)=1.1306424583755
log 5(6.18)=1.1316486690158
log 5(6.19)=1.132653252799
log 5(6.2)=1.1336562149773
log 5(6.21)=1.1346575607775
log 5(6.22)=1.1356572954012
log 5(6.23)=1.1366554240248
log 5(6.24)=1.1376519517999
log 5(6.25)=1.1386468838532
log 5(6.26)=1.1396402252871
log 5(6.27)=1.1406319811793
log 5(6.28)=1.1416221565834
log 5(6.29)=1.1426107565287
log 5(6.3)=1.1435977860207
log 5(6.31)=1.1445832500411
log 5(6.32)=1.1455671535476
log 5(6.33)=1.1465495014749
log 5(6.34)=1.1475302987339
log 5(6.35)=1.1485095502125
log 5(6.36)=1.1494872607754
log 5(6.37)=1.1504634352646
log 5(6.38)=1.1514380784991
log 5(6.39)=1.1524111952752
log 5(6.4)=1.153382790367
log 5(6.41)=1.1543528685259
log 5(6.42)=1.1553214344812
log 5(6.43)=1.1562884929404
log 5(6.44)=1.1572540485885
log 5(6.45)=1.1582181060893
log 5(6.46)=1.1591806700843
log 5(6.47)=1.1601417451941
log 5(6.48)=1.1611013360173
log 5(6.49)=1.1620594471317
log 5(6.5)=1.1630160830937
log 5(6.51)=1.1639712484387

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