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Log 5 (338)

Log 5 (338) is the logarithm of 338 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 (338) = 3.6180618404076.

Calculate Log Base 5 of 338

To solve the equation log 5 (338) = 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 = 338, a = 5:
    log 5 (338) = log(338) / log(5)
  3. Evaluate the term:
    log(338) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 3.6180618404076
    = Logarithm of 338 with base 5
Here’s the logarithm of 5 to the base 338.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 3.6180618404076 = 338
  • 5 3.6180618404076 = 338 is the exponential form of log5 (338)
  • 5 is the logarithm base of log5 (338)
  • 338 is the argument of log5 (338)
  • 3.6180618404076 is the exponent or power of 5 3.6180618404076 = 338
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 338?

Log5 (338) = 3.6180618404076.

How do you find the value of log 5338?

Carry out the change of base logarithm operation.

What does log 5 338 mean?

It means the logarithm of 338 with base 5.

How do you solve log base 5 338?

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

What is the log base 5 of 338?

The value is 3.6180618404076.

How do you write log 5 338 in exponential form?

In exponential form is 5 3.6180618404076 = 338.

What is log5 (338) equal to?

log base 5 of 338 = 3.6180618404076.
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 338 = 3.6180618404076.

You now know everything about the logarithm with base 5, argument 338 and exponent 3.6180618404076.
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 (338).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(337.5)=3.6171420253846
log 5(337.51)=3.6171604350358
log 5(337.52)=3.6171788441416
log 5(337.53)=3.617197252702
log 5(337.54)=3.617215660717
log 5(337.55)=3.6172340681867
log 5(337.56)=3.617252475111
log 5(337.57)=3.6172708814901
log 5(337.58)=3.6172892873239
log 5(337.59)=3.6173076926125
log 5(337.6)=3.6173260973559
log 5(337.61)=3.6173445015541
log 5(337.62)=3.6173629052072
log 5(337.63)=3.6173813083152
log 5(337.64)=3.6173997108782
log 5(337.65)=3.6174181128961
log 5(337.66)=3.6174365143691
log 5(337.67)=3.6174549152971
log 5(337.68)=3.6174733156801
log 5(337.69)=3.6174917155183
log 5(337.7)=3.6175101148115
log 5(337.71)=3.61752851356
log 5(337.72)=3.6175469117636
log 5(337.73)=3.6175653094225
log 5(337.74)=3.6175837065367
log 5(337.75)=3.6176021031061
log 5(337.76)=3.6176204991309
log 5(337.77)=3.617638894611
log 5(337.78)=3.6176572895465
log 5(337.79)=3.6176756839375
log 5(337.8)=3.6176940777839
log 5(337.81)=3.6177124710858
log 5(337.82)=3.6177308638432
log 5(337.83)=3.6177492560562
log 5(337.84)=3.6177676477247
log 5(337.85)=3.6177860388489
log 5(337.86)=3.6178044294287
log 5(337.87)=3.6178228194642
log 5(337.88)=3.6178412089554
log 5(337.89)=3.6178595979024
log 5(337.9)=3.6178779863051
log 5(337.91)=3.6178963741637
log 5(337.92)=3.6179147614781
log 5(337.93)=3.6179331482484
log 5(337.94)=3.6179515344746
log 5(337.95)=3.6179699201567
log 5(337.96)=3.6179883052948
log 5(337.97)=3.6180066898889
log 5(337.98)=3.618025073939
log 5(337.99)=3.6180434574452
log 5(338)=3.6180618404076
log 5(338.01)=3.618080222826
log 5(338.02)=3.6180986047006
log 5(338.03)=3.6181169860314
log 5(338.04)=3.6181353668185
log 5(338.05)=3.6181537470618
log 5(338.06)=3.6181721267613
log 5(338.07)=3.6181905059173
log 5(338.08)=3.6182088845295
log 5(338.09)=3.6182272625982
log 5(338.1)=3.6182456401233
log 5(338.11)=3.6182640171049
log 5(338.12)=3.6182823935429
log 5(338.13)=3.6183007694374
log 5(338.14)=3.6183191447885
log 5(338.15)=3.6183375195962
log 5(338.16)=3.6183558938605
log 5(338.17)=3.6183742675815
log 5(338.18)=3.6183926407591
log 5(338.19)=3.6184110133935
log 5(338.2)=3.6184293854846
log 5(338.21)=3.6184477570324
log 5(338.22)=3.6184661280371
log 5(338.23)=3.6184844984986
log 5(338.24)=3.618502868417
log 5(338.25)=3.6185212377923
log 5(338.26)=3.6185396066245
log 5(338.27)=3.6185579749137
log 5(338.28)=3.6185763426599
log 5(338.29)=3.6185947098632
log 5(338.3)=3.6186130765235
log 5(338.31)=3.6186314426409
log 5(338.32)=3.6186498082154
log 5(338.33)=3.6186681732471
log 5(338.34)=3.618686537736
log 5(338.35)=3.6187049016821
log 5(338.36)=3.6187232650854
log 5(338.37)=3.6187416279461
log 5(338.38)=3.6187599902641
log 5(338.39)=3.6187783520394
log 5(338.4)=3.6187967132721
log 5(338.41)=3.6188150739623
log 5(338.42)=3.6188334341098
log 5(338.43)=3.6188517937149
log 5(338.44)=3.6188701527775
log 5(338.45)=3.6188885112976
log 5(338.46)=3.6189068692753
log 5(338.47)=3.6189252267107
log 5(338.48)=3.6189435836036
log 5(338.49)=3.6189619399543
log 5(338.5)=3.6189802957626
log 5(338.51)=3.6189986510287

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