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Log 3 (320)

Log 3 (320) is the logarithm of 320 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 (320) = 5.2505520421467.

Calculate Log Base 3 of 320

To solve the equation log 3 (320) = 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 = 320, a = 3:
    log 3 (320) = log(320) / log(3)
  3. Evaluate the term:
    log(320) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 5.2505520421467
    = Logarithm of 320 with base 3
Here’s the logarithm of 3 to the base 320.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 5.2505520421467 = 320
  • 3 5.2505520421467 = 320 is the exponential form of log3 (320)
  • 3 is the logarithm base of log3 (320)
  • 320 is the argument of log3 (320)
  • 5.2505520421467 is the exponent or power of 3 5.2505520421467 = 320
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 320?

Log3 (320) = 5.2505520421467.

How do you find the value of log 3320?

Carry out the change of base logarithm operation.

What does log 3 320 mean?

It means the logarithm of 320 with base 3.

How do you solve log base 3 320?

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

What is the log base 3 of 320?

The value is 5.2505520421467.

How do you write log 3 320 in exponential form?

In exponential form is 3 5.2505520421467 = 320.

What is log3 (320) equal to?

log base 3 of 320 = 5.2505520421467.
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 320 = 5.2505520421467.

You now know everything about the logarithm with base 3, argument 320 and exponent 5.2505520421467.
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 (320).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(319.5)=5.2491286810644
log 3(319.51)=5.2491571701092
log 3(319.52)=5.2491856582624
log 3(319.53)=5.249214145524
log 3(319.54)=5.2492426318941
log 3(319.55)=5.2492711173728
log 3(319.56)=5.24929960196
log 3(319.57)=5.2493280856558
log 3(319.58)=5.2493565684604
log 3(319.59)=5.2493850503737
log 3(319.6)=5.2494135313958
log 3(319.61)=5.2494420115268
log 3(319.62)=5.2494704907667
log 3(319.63)=5.2494989691156
log 3(319.64)=5.2495274465736
log 3(319.65)=5.2495559231406
log 3(319.66)=5.2495843988168
log 3(319.67)=5.2496128736022
log 3(319.68)=5.2496413474968
log 3(319.69)=5.2496698205007
log 3(319.7)=5.2496982926141
log 3(319.71)=5.2497267638368
log 3(319.72)=5.249755234169
log 3(319.73)=5.2497837036108
log 3(319.74)=5.2498121721621
log 3(319.75)=5.2498406398231
log 3(319.76)=5.2498691065938
log 3(319.77)=5.2498975724743
log 3(319.78)=5.2499260374646
log 3(319.79)=5.2499545015647
log 3(319.8)=5.2499829647748
log 3(319.81)=5.2500114270949
log 3(319.82)=5.250039888525
log 3(319.83)=5.2500683490652
log 3(319.84)=5.2500968087155
log 3(319.85)=5.2501252674761
log 3(319.86)=5.2501537253469
log 3(319.87)=5.250182182328
log 3(319.88)=5.2502106384195
log 3(319.89)=5.2502390936214
log 3(319.9)=5.2502675479338
log 3(319.91)=5.2502960013568
log 3(319.92)=5.2503244538903
log 3(319.93)=5.2503529055345
log 3(319.94)=5.2503813562894
log 3(319.95)=5.250409806155
log 3(319.96)=5.2504382551315
log 3(319.97)=5.2504667032188
log 3(319.98)=5.2504951504171
log 3(319.99)=5.2505235967264
log 3(320)=5.2505520421467
log 3(320.01)=5.2505804866781
log 3(320.02)=5.2506089303206
log 3(320.03)=5.2506373730743
log 3(320.04)=5.2506658149393
log 3(320.05)=5.2506942559157
log 3(320.06)=5.2507226960034
log 3(320.07)=5.2507511352025
log 3(320.08)=5.2507795735131
log 3(320.09)=5.2508080109352
log 3(320.1)=5.250836447469
log 3(320.11)=5.2508648831144
log 3(320.12)=5.2508933178715
log 3(320.13)=5.2509217517403
log 3(320.14)=5.250950184721
log 3(320.15)=5.2509786168135
log 3(320.16)=5.251007048018
log 3(320.17)=5.2510354783344
log 3(320.18)=5.2510639077629
log 3(320.19)=5.2510923363035
log 3(320.2)=5.2511207639563
log 3(320.21)=5.2511491907212
log 3(320.22)=5.2511776165984
log 3(320.23)=5.2512060415879
log 3(320.24)=5.2512344656898
log 3(320.25)=5.2512628889041
log 3(320.26)=5.2512913112309
log 3(320.27)=5.2513197326702
log 3(320.28)=5.2513481532221
log 3(320.29)=5.2513765728867
log 3(320.3)=5.251404991664
log 3(320.31)=5.251433409554
log 3(320.32)=5.2514618265569
log 3(320.33)=5.2514902426726
log 3(320.34)=5.2515186579012
log 3(320.35)=5.2515470722428
log 3(320.36)=5.2515754856975
log 3(320.37)=5.2516038982653
log 3(320.38)=5.2516323099462
log 3(320.39)=5.2516607207403
log 3(320.4)=5.2516891306476
log 3(320.41)=5.2517175396683
log 3(320.42)=5.2517459478023
log 3(320.43)=5.2517743550498
log 3(320.44)=5.2518027614107
log 3(320.45)=5.2518311668852
log 3(320.46)=5.2518595714732
log 3(320.47)=5.2518879751749
log 3(320.48)=5.2519163779903
log 3(320.49)=5.2519447799195
log 3(320.5)=5.2519731809625
log 3(320.51)=5.2520015811193

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