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Log 3 (345)

Log 3 (345) is the logarithm of 345 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 (345) = 5.3190233509182.

Calculate Log Base 3 of 345

To solve the equation log 3 (345) = 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 = 345, a = 3:
    log 3 (345) = log(345) / log(3)
  3. Evaluate the term:
    log(345) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.3190233509182
    = Logarithm of 345 with base 3
Here’s the logarithm of 3 to the base 345.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.3190233509182 = 345
  • 3 5.3190233509182 = 345 is the exponential form of log3 (345)
  • 3 is the logarithm base of log3 (345)
  • 345 is the argument of log3 (345)
  • 5.3190233509182 is the exponent or power of 3 5.3190233509182 = 345
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 345?

Log3 (345) = 5.3190233509182.

How do you find the value of log 3345?

Carry out the change of base logarithm operation.

What does log 3 345 mean?

It means the logarithm of 345 with base 3.

How do you solve log base 3 345?

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

What is the log base 3 of 345?

The value is 5.3190233509182.

How do you write log 3 345 in exponential form?

In exponential form is 3 5.3190233509182 = 345.

What is log3 (345) equal to?

log base 3 of 345 = 5.3190233509182.
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 345 = 5.3190233509182.

You now know everything about the logarithm with base 3, argument 345 and exponent 5.3190233509182.
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 (345).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(344.5)=5.3177032067758
log 3(344.51)=5.3177296284308
log 3(344.52)=5.3177560493189
log 3(344.53)=5.3177824694402
log 3(344.54)=5.3178088887946
log 3(344.55)=5.3178353073822
log 3(344.56)=5.317861725203
log 3(344.57)=5.3178881422572
log 3(344.58)=5.3179145585447
log 3(344.59)=5.3179409740656
log 3(344.6)=5.3179673888199
log 3(344.61)=5.3179938028077
log 3(344.62)=5.3180202160291
log 3(344.63)=5.3180466284839
log 3(344.64)=5.3180730401724
log 3(344.65)=5.3180994510946
log 3(344.66)=5.3181258612505
log 3(344.67)=5.3181522706401
log 3(344.68)=5.3181786792635
log 3(344.69)=5.3182050871207
log 3(344.7)=5.3182314942118
log 3(344.71)=5.3182579005368
log 3(344.72)=5.3182843060958
log 3(344.73)=5.3183107108888
log 3(344.74)=5.3183371149158
log 3(344.75)=5.318363518177
log 3(344.76)=5.3183899206723
log 3(344.77)=5.3184163224018
log 3(344.78)=5.3184427233655
log 3(344.79)=5.3184691235635
log 3(344.8)=5.3184955229958
log 3(344.81)=5.3185219216625
log 3(344.82)=5.3185483195636
log 3(344.83)=5.3185747166992
log 3(344.84)=5.3186011130692
log 3(344.85)=5.3186275086738
log 3(344.86)=5.318653903513
log 3(344.87)=5.3186802975868
log 3(344.88)=5.3187066908953
log 3(344.89)=5.3187330834385
log 3(344.9)=5.3187594752165
log 3(344.91)=5.3187858662293
log 3(344.92)=5.3188122564769
log 3(344.93)=5.3188386459595
log 3(344.94)=5.318865034677
log 3(344.95)=5.3188914226294
log 3(344.96)=5.318917809817
log 3(344.97)=5.3189441962395
log 3(344.98)=5.3189705818972
log 3(344.99)=5.3189969667901
log 3(345)=5.3190233509182
log 3(345.01)=5.3190497342815
log 3(345.02)=5.3190761168802
log 3(345.03)=5.3191024987141
log 3(345.04)=5.3191288797835
log 3(345.05)=5.3191552600883
log 3(345.06)=5.3191816396286
log 3(345.07)=5.3192080184043
log 3(345.08)=5.3192343964157
log 3(345.09)=5.3192607736627
log 3(345.1)=5.3192871501453
log 3(345.11)=5.3193135258636
log 3(345.12)=5.3193399008176
log 3(345.13)=5.3193662750075
log 3(345.14)=5.3193926484331
log 3(345.15)=5.3194190210947
log 3(345.16)=5.3194453929921
log 3(345.17)=5.3194717641255
log 3(345.18)=5.319498134495
log 3(345.19)=5.3195245041004
log 3(345.2)=5.319550872942
log 3(345.21)=5.3195772410197
log 3(345.22)=5.3196036083336
log 3(345.23)=5.3196299748838
log 3(345.24)=5.3196563406701
log 3(345.25)=5.3196827056929
log 3(345.26)=5.3197090699519
log 3(345.27)=5.3197354334474
log 3(345.28)=5.3197617961793
log 3(345.29)=5.3197881581478
log 3(345.3)=5.3198145193527
log 3(345.31)=5.3198408797943
log 3(345.32)=5.3198672394724
log 3(345.33)=5.3198935983873
log 3(345.34)=5.3199199565388
log 3(345.35)=5.3199463139271
log 3(345.36)=5.3199726705523
log 3(345.37)=5.3199990264142
log 3(345.38)=5.3200253815131
log 3(345.39)=5.3200517358489
log 3(345.4)=5.3200780894216
log 3(345.41)=5.3201044422314
log 3(345.42)=5.3201307942783
log 3(345.43)=5.3201571455623
log 3(345.44)=5.3201834960834
log 3(345.45)=5.3202098458417
log 3(345.46)=5.3202361948373
log 3(345.47)=5.3202625430702
log 3(345.48)=5.3202888905404
log 3(345.49)=5.320315237248
log 3(345.5)=5.320341583193
log 3(345.51)=5.3203679283754

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