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Log 3 (7)

Log 3 (7) is the logarithm of 7 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 (7) = 1.7712437491614.

Calculate Log Base 3 of 7

To solve the equation log 3 (7) = 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 = 7, a = 3:
    log 3 (7) = log(7) / log(3)
  3. Evaluate the term:
    log(7) / log(3)
    = 1.39794000867204 / 1.92427928606188
    = 1.7712437491614
    = Logarithm of 7 with base 3
Here’s the logarithm of 3 to the base 7.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 3 1.7712437491614 = 7
  • 3 1.7712437491614 = 7 is the exponential form of log3 (7)
  • 3 is the logarithm base of log3 (7)
  • 7 is the argument of log3 (7)
  • 1.7712437491614 is the exponent or power of 3 1.7712437491614 = 7
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 7?

Log3 (7) = 1.7712437491614.

How do you find the value of log 37?

Carry out the change of base logarithm operation.

What does log 3 7 mean?

It means the logarithm of 7 with base 3.

How do you solve log base 3 7?

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

What is the log base 3 of 7?

The value is 1.7712437491614.

How do you write log 3 7 in exponential form?

In exponential form is 3 1.7712437491614 = 7.

What is log3 (7) equal to?

log base 3 of 7 = 1.7712437491614.

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 7 = 1.7712437491614.

You now know everything about the logarithm with base 3, argument 7 and exponent 1.7712437491614.
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 (7).

Table

Our quick conversion table is easy to use:
log 3(x) Value
log 3(6.5)=1.7037877659013
log 3(6.51)=1.7051870578397
log 3(6.52)=1.7065842019768
log 3(6.53)=1.707979204896
log 3(6.54)=1.7093720731504
log 3(6.55)=1.710762813263
log 3(6.56)=1.712151431727
log 3(6.57)=1.713537935006
log 3(6.58)=1.7149223295338
log 3(6.59)=1.7163046217154
log 3(6.6)=1.7176848179262
log 3(6.61)=1.7190629245129
log 3(6.62)=1.7204389477933
log 3(6.63)=1.7218128940566
log 3(6.64)=1.7231847695636
log 3(6.65)=1.724554580547
log 3(6.66)=1.725922333211
log 3(6.67)=1.7272880337322
log 3(6.68)=1.7286516882593
log 3(6.69)=1.7300133029136
log 3(6.7)=1.7313728837886
log 3(6.71)=1.732730436951
log 3(6.72)=1.7340859684399
log 3(6.73)=1.735439484268
log 3(6.74)=1.7367909904207
log 3(6.75)=1.7381404928571
log 3(6.76)=1.7394879975097
log 3(6.77)=1.7408335102849
log 3(6.78)=1.7421770370625
log 3(6.79)=1.7435185836969
log 3(6.8)=1.7448581560161
log 3(6.81)=1.7461957598227
log 3(6.82)=1.7475314008938
log 3(6.83)=1.748865084981
log 3(6.84)=1.7501968178105
log 3(6.85)=1.7515266050837
log 3(6.86)=1.752854452477
log 3(6.87)=1.7541803656417
log 3(6.88)=1.7555043502047
log 3(6.89)=1.7568264117685
log 3(6.9)=1.7581465559109
log 3(6.91)=1.7594647881856
log 3(6.92)=1.7607811141224
log 3(6.93)=1.7620955392268
log 3(6.94)=1.7634080689807
log 3(6.95)=1.7647187088423
log 3(6.96)=1.7660274642463
log 3(6.97)=1.7673343406038
log 3(6.98)=1.7686393433027
log 3(6.99)=1.769942477708
log 3(7)=1.7712437491614
log 3(7.01)=1.7725431629818
log 3(7.02)=1.7738407244655
log 3(7.03)=1.7751364388859
log 3(7.04)=1.7764303114941
log 3(7.05)=1.7777223475189
log 3(7.06)=1.7790125521667
log 3(7.07)=1.7803009306219
log 3(7.08)=1.7815874880469
log 3(7.09)=1.7828722295821
log 3(7.1)=1.7841551603465
log 3(7.11)=1.7854362854371
log 3(7.12)=1.7867156099297
log 3(7.13)=1.7879931388785
log 3(7.14)=1.7892688773167
log 3(7.15)=1.7905428302561
log 3(7.16)=1.7918150026877
log 3(7.17)=1.7930853995814
log 3(7.18)=1.7943540258866
log 3(7.19)=1.7956208865318
log 3(7.2)=1.796885986425
log 3(7.21)=1.7981493304538
log 3(7.22)=1.7994109234854
log 3(7.23)=1.800670770367
log 3(7.24)=1.8019288759255
log 3(7.25)=1.8031852449677
log 3(7.26)=1.804439882281
log 3(7.27)=1.8056927926324
log 3(7.28)=1.8069439807698
log 3(7.29)=1.8081934514212
log 3(7.3)=1.8094412092953
log 3(7.31)=1.8106872590815
log 3(7.32)=1.8119316054497
log 3(7.33)=1.8131742530511
log 3(7.34)=1.8144152065175
log 3(7.35)=1.815654470462
log 3(7.36)=1.8168920494788
log 3(7.37)=1.8181279481434
log 3(7.38)=1.8193621710126
log 3(7.39)=1.820594722625
log 3(7.4)=1.8218256075003
log 3(7.41)=1.8230548301404
log 3(7.42)=1.8242823950286
log 3(7.43)=1.8255083066302
log 3(7.44)=1.8267325693926
log 3(7.45)=1.8279551877452
log 3(7.46)=1.8291761660994
log 3(7.47)=1.8303955088493
log 3(7.48)=1.8316132203708
log 3(7.49)=1.8328293050228
log 3(7.5)=1.8340437671465
log 3(7.51)=1.8352566110656

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