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Log 3 (315)

Log 3 (315) is the logarithm of 315 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 (315) = 5.2362172698793.

Calculate Log Base 3 of 315

To solve the equation log 3 (315) = 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 = 315, a = 3:
    log 3 (315) = log(315) / log(3)
  3. Evaluate the term:
    log(315) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.2362172698793
    = Logarithm of 315 with base 3
Here’s the logarithm of 3 to the base 315.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.2362172698793 = 315
  • 3 5.2362172698793 = 315 is the exponential form of log3 (315)
  • 3 is the logarithm base of log3 (315)
  • 315 is the argument of log3 (315)
  • 5.2362172698793 is the exponent or power of 3 5.2362172698793 = 315
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 315?

Log3 (315) = 5.2362172698793.

How do you find the value of log 3315?

Carry out the change of base logarithm operation.

What does log 3 315 mean?

It means the logarithm of 315 with base 3.

How do you solve log base 3 315?

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

What is the log base 3 of 315?

The value is 5.2362172698793.

How do you write log 3 315 in exponential form?

In exponential form is 3 5.2362172698793 = 315.

What is log3 (315) equal to?

log base 3 of 315 = 5.2362172698793.
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 315 = 5.2362172698793.

You now know everything about the logarithm with base 3, argument 315 and exponent 5.2362172698793.
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 (315).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(314.5)=5.2347712978094
log 3(314.51)=5.234800239773
log 3(314.52)=5.2348291808164
log 3(314.53)=5.2348581209397
log 3(314.54)=5.2348870601428
log 3(314.55)=5.234915998426
log 3(314.56)=5.2349449357891
log 3(314.57)=5.2349738722323
log 3(314.58)=5.2350028077557
log 3(314.59)=5.2350317423593
log 3(314.6)=5.2350606760431
log 3(314.61)=5.2350896088073
log 3(314.62)=5.2351185406518
log 3(314.63)=5.2351474715768
log 3(314.64)=5.2351764015822
log 3(314.65)=5.2352053306683
log 3(314.66)=5.2352342588349
log 3(314.67)=5.2352631860822
log 3(314.68)=5.2352921124102
log 3(314.69)=5.235321037819
log 3(314.7)=5.2353499623086
log 3(314.71)=5.2353788858791
log 3(314.72)=5.2354078085306
log 3(314.73)=5.2354367302632
log 3(314.74)=5.2354656510768
log 3(314.75)=5.2354945709715
log 3(314.76)=5.2355234899474
log 3(314.77)=5.2355524080046
log 3(314.78)=5.2355813251431
log 3(314.79)=5.2356102413629
log 3(314.8)=5.2356391566642
log 3(314.81)=5.235668071047
log 3(314.82)=5.2356969845113
log 3(314.83)=5.2357258970572
log 3(314.84)=5.2357548086848
log 3(314.85)=5.2357837193941
log 3(314.86)=5.2358126291851
log 3(314.87)=5.235841538058
log 3(314.88)=5.2358704460128
log 3(314.89)=5.2358993530496
log 3(314.9)=5.2359282591684
log 3(314.91)=5.2359571643692
log 3(314.92)=5.2359860686521
log 3(314.93)=5.2360149720173
log 3(314.94)=5.2360438744647
log 3(314.95)=5.2360727759944
log 3(314.96)=5.2361016766064
log 3(314.97)=5.2361305763009
log 3(314.98)=5.2361594750778
log 3(314.99)=5.2361883729373
log 3(315)=5.2362172698793
log 3(315.01)=5.2362461659041
log 3(315.02)=5.2362750610115
log 3(315.03)=5.2363039552017
log 3(315.04)=5.2363328484747
log 3(315.05)=5.2363617408306
log 3(315.06)=5.2363906322695
log 3(315.07)=5.2364195227913
log 3(315.08)=5.2364484123962
log 3(315.09)=5.2364773010843
log 3(315.1)=5.2365061888555
log 3(315.11)=5.2365350757099
log 3(315.12)=5.2365639616476
log 3(315.13)=5.2365928466687
log 3(315.14)=5.2366217307732
log 3(315.15)=5.2366506139611
log 3(315.16)=5.2366794962326
log 3(315.17)=5.2367083775877
log 3(315.18)=5.2367372580264
log 3(315.19)=5.2367661375488
log 3(315.2)=5.2367950161549
log 3(315.21)=5.2368238938449
log 3(315.22)=5.2368527706187
log 3(315.23)=5.2368816464765
log 3(315.24)=5.2369105214183
log 3(315.25)=5.2369393954441
log 3(315.26)=5.236968268554
log 3(315.27)=5.2369971407481
log 3(315.28)=5.2370260120264
log 3(315.29)=5.237054882389
log 3(315.3)=5.2370837518359
log 3(315.31)=5.2371126203672
log 3(315.32)=5.237141487983
log 3(315.33)=5.2371703546833
log 3(315.34)=5.2371992204681
log 3(315.35)=5.2372280853376
log 3(315.36)=5.2372569492918
log 3(315.37)=5.2372858123307
log 3(315.38)=5.2373146744544
log 3(315.39)=5.237343535663
log 3(315.4)=5.2373723959565
log 3(315.41)=5.237401255335
log 3(315.42)=5.2374301137985
log 3(315.43)=5.2374589713471
log 3(315.44)=5.2374878279808
log 3(315.45)=5.2375166836998
log 3(315.46)=5.237545538504
log 3(315.47)=5.2375743923935
log 3(315.48)=5.2376032453685
log 3(315.49)=5.2376320974289
log 3(315.5)=5.2376609485747
log 3(315.51)=5.2376897988062

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