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Log 3 (338)

Log 3 (338) is the logarithm of 338 to the base 3:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log3 (338) = 5.300364792517.

Calculate Log Base 3 of 338

To solve the equation log 3 (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 = 3:
    log 3 (338) = log(338) / log(3)
  3. Evaluate the term:
    log(338) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.300364792517
    = Logarithm of 338 with base 3
Here’s the logarithm of 3 to the base 338.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.300364792517 = 338
  • 3 5.300364792517 = 338 is the exponential form of log3 (338)
  • 3 is the logarithm base of log3 (338)
  • 338 is the argument of log3 (338)
  • 5.300364792517 is the exponent or power of 3 5.300364792517 = 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 log3 338?

Log3 (338) = 5.300364792517.

How do you find the value of log 3338?

Carry out the change of base logarithm operation.

What does log 3 338 mean?

It means the logarithm of 338 with base 3.

How do you solve log base 3 338?

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

What is the log base 3 of 338?

The value is 5.300364792517.

How do you write log 3 338 in exponential form?

In exponential form is 3 5.300364792517 = 338.

What is log3 (338) equal to?

log base 3 of 338 = 5.300364792517.
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 3 of 338 = 5.300364792517.

You now know everything about the logarithm with base 3, argument 338 and exponent 5.300364792517.
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 Log3 (338).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(337.5)=5.2990172878644
log 3(337.51)=5.299044257516
log 3(337.52)=5.2990712263686
log 3(337.53)=5.2990981944221
log 3(337.54)=5.2991251616766
log 3(337.55)=5.2991521281323
log 3(337.56)=5.299179093789
log 3(337.57)=5.299206058647
log 3(337.58)=5.2992330227061
log 3(337.59)=5.2992599859665
log 3(337.6)=5.2992869484282
log 3(337.61)=5.2993139100913
log 3(337.62)=5.2993408709558
log 3(337.63)=5.2993678310218
log 3(337.64)=5.2993947902892
log 3(337.65)=5.2994217487582
log 3(337.66)=5.2994487064288
log 3(337.67)=5.2994756633011
log 3(337.68)=5.299502619375
log 3(337.69)=5.2995295746507
log 3(337.7)=5.2995565291282
log 3(337.71)=5.2995834828075
log 3(337.72)=5.2996104356886
log 3(337.73)=5.2996373877717
log 3(337.74)=5.2996643390568
log 3(337.75)=5.2996912895439
log 3(337.76)=5.2997182392331
log 3(337.77)=5.2997451881244
log 3(337.78)=5.2997721362179
log 3(337.79)=5.2997990835135
log 3(337.8)=5.2998260300114
log 3(337.81)=5.2998529757117
log 3(337.82)=5.2998799206143
log 3(337.83)=5.2999068647193
log 3(337.84)=5.2999338080267
log 3(337.85)=5.2999607505366
log 3(337.86)=5.2999876922491
log 3(337.87)=5.3000146331641
log 3(337.88)=5.3000415732818
log 3(337.89)=5.3000685126022
log 3(337.9)=5.3000954511253
log 3(337.91)=5.3001223888512
log 3(337.92)=5.3001493257799
log 3(337.93)=5.3001762619115
log 3(337.94)=5.300203197246
log 3(337.95)=5.3002301317835
log 3(337.96)=5.300257065524
log 3(337.97)=5.3002839984676
log 3(337.98)=5.3003109306142
log 3(337.99)=5.300337861964
log 3(338)=5.300364792517
log 3(338.01)=5.3003917222733
log 3(338.02)=5.3004186512329
log 3(338.03)=5.3004455793958
log 3(338.04)=5.3004725067621
log 3(338.05)=5.3004994333318
log 3(338.06)=5.300526359105
log 3(338.07)=5.3005532840818
log 3(338.08)=5.3005802082621
log 3(338.09)=5.3006071316461
log 3(338.1)=5.3006340542337
log 3(338.11)=5.3006609760251
log 3(338.12)=5.3006878970202
log 3(338.13)=5.3007148172192
log 3(338.14)=5.300741736622
log 3(338.15)=5.3007686552287
log 3(338.16)=5.3007955730393
log 3(338.17)=5.300822490054
log 3(338.18)=5.3008494062727
log 3(338.19)=5.3008763216956
log 3(338.2)=5.3009032363225
log 3(338.21)=5.3009301501537
log 3(338.22)=5.3009570631891
log 3(338.23)=5.3009839754288
log 3(338.24)=5.3010108868728
log 3(338.25)=5.3010377975212
log 3(338.26)=5.301064707374
log 3(338.27)=5.3010916164313
log 3(338.28)=5.3011185246931
log 3(338.29)=5.3011454321595
log 3(338.3)=5.3011723388305
log 3(338.31)=5.3011992447062
log 3(338.32)=5.3012261497865
log 3(338.33)=5.3012530540717
log 3(338.34)=5.3012799575616
log 3(338.35)=5.3013068602564
log 3(338.36)=5.3013337621561
log 3(338.37)=5.3013606632607
log 3(338.38)=5.3013875635703
log 3(338.39)=5.301414463085
log 3(338.4)=5.3014413618047
log 3(338.41)=5.3014682597296
log 3(338.42)=5.3014951568596
log 3(338.43)=5.3015220531949
log 3(338.44)=5.3015489487355
log 3(338.45)=5.3015758434814
log 3(338.46)=5.3016027374326
log 3(338.47)=5.3016296305892
log 3(338.48)=5.3016565229514
log 3(338.49)=5.301683414519
log 3(338.5)=5.3017103052922
log 3(338.51)=5.3017371952709

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