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Log 3 (240)

Log 3 (240) is the logarithm of 240 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 (240) = 4.9886925350038.

Calculate Log Base 3 of 240

To solve the equation log 3 (240) = 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 = 240, a = 3:
    log 3 (240) = log(240) / log(3)
  3. Evaluate the term:
    log(240) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 4.9886925350038
    = Logarithm of 240 with base 3
Here’s the logarithm of 3 to the base 240.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 4.9886925350038 = 240
  • 3 4.9886925350038 = 240 is the exponential form of log3 (240)
  • 3 is the logarithm base of log3 (240)
  • 240 is the argument of log3 (240)
  • 4.9886925350038 is the exponent or power of 3 4.9886925350038 = 240
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 240?

Log3 (240) = 4.9886925350038.

How do you find the value of log 3240?

Carry out the change of base logarithm operation.

What does log 3 240 mean?

It means the logarithm of 240 with base 3.

How do you solve log base 3 240?

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

What is the log base 3 of 240?

The value is 4.9886925350038.

How do you write log 3 240 in exponential form?

In exponential form is 3 4.9886925350038 = 240.

What is log3 (240) equal to?

log base 3 of 240 = 4.9886925350038.
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 240 = 4.9886925350038.

You now know everything about the logarithm with base 3, argument 240 and exponent 4.9886925350038.
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 (240).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(239.5)=4.9867942251882
log 3(239.51)=4.986832230208
log 3(239.52)=4.9868702336411
log 3(239.53)=4.9869082354875
log 3(239.54)=4.9869462357475
log 3(239.55)=4.9869842344211
log 3(239.56)=4.9870222315085
log 3(239.57)=4.9870602270098
log 3(239.58)=4.9870982209251
log 3(239.59)=4.9871362132546
log 3(239.6)=4.9871742039984
log 3(239.61)=4.9872121931567
log 3(239.62)=4.9872501807296
log 3(239.63)=4.9872881667171
log 3(239.64)=4.9873261511195
log 3(239.65)=4.9873641339369
log 3(239.66)=4.9874021151693
log 3(239.67)=4.9874400948171
log 3(239.68)=4.9874780728801
log 3(239.69)=4.9875160493587
log 3(239.7)=4.9875540242529
log 3(239.71)=4.9875919975629
log 3(239.72)=4.9876299692888
log 3(239.73)=4.9876679394307
log 3(239.74)=4.9877059079887
log 3(239.75)=4.9877438749631
log 3(239.76)=4.9877818403539
log 3(239.77)=4.9878198041612
log 3(239.78)=4.9878577663853
log 3(239.79)=4.9878957270261
log 3(239.8)=4.9879336860839
log 3(239.81)=4.9879716435588
log 3(239.82)=4.9880095994509
log 3(239.83)=4.9880475537604
log 3(239.84)=4.9880855064873
log 3(239.85)=4.9881234576319
log 3(239.86)=4.9881614071942
log 3(239.87)=4.9881993551744
log 3(239.88)=4.9882373015726
log 3(239.89)=4.9882752463889
log 3(239.9)=4.9883131896236
log 3(239.91)=4.9883511312766
log 3(239.92)=4.9883890713481
log 3(239.93)=4.9884270098384
log 3(239.94)=4.9884649467474
log 3(239.95)=4.9885028820753
log 3(239.96)=4.9885408158224
log 3(239.97)=4.9885787479886
log 3(239.98)=4.9886166785741
log 3(239.99)=4.9886546075792
log 3(240)=4.9886925350038
log 3(240.01)=4.9887304608481
log 3(240.02)=4.9887683851123
log 3(240.03)=4.9888063077964
log 3(240.04)=4.9888442289007
log 3(240.05)=4.9888821484253
log 3(240.06)=4.9889200663702
log 3(240.07)=4.9889579827356
log 3(240.08)=4.9889958975217
log 3(240.09)=4.9890338107285
log 3(240.1)=4.9890717223563
log 3(240.11)=4.9891096324051
log 3(240.12)=4.9891475408751
log 3(240.13)=4.9891854477664
log 3(240.14)=4.9892233530791
log 3(240.15)=4.9892612568133
log 3(240.16)=4.9892991589693
log 3(240.17)=4.9893370595471
log 3(240.18)=4.9893749585469
log 3(240.19)=4.9894128559687
log 3(240.2)=4.9894507518128
log 3(240.21)=4.9894886460792
log 3(240.22)=4.9895265387681
log 3(240.23)=4.9895644298797
log 3(240.24)=4.989602319414
log 3(240.25)=4.9896402073711
log 3(240.26)=4.9896780937513
log 3(240.27)=4.9897159785546
log 3(240.28)=4.9897538617812
log 3(240.29)=4.9897917434312
log 3(240.3)=4.9898296235047
log 3(240.31)=4.9898675020019
log 3(240.32)=4.9899053789229
log 3(240.33)=4.9899432542678
log 3(240.34)=4.9899811280368
log 3(240.35)=4.9900190002299
log 3(240.36)=4.9900568708474
log 3(240.37)=4.9900947398894
log 3(240.38)=4.9901326073559
log 3(240.39)=4.9901704732472
log 3(240.4)=4.9902083375633
log 3(240.41)=4.9902462003043
log 3(240.42)=4.9902840614705
log 3(240.43)=4.9903219210619
log 3(240.44)=4.9903597790787
log 3(240.45)=4.990397635521
log 3(240.46)=4.9904354903889
log 3(240.47)=4.9904733436826
log 3(240.48)=4.9905111954022
log 3(240.49)=4.9905490455478
log 3(240.5)=4.9905868941196
log 3(240.51)=4.9906247411177

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