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Log 5 (10)

Log 5 (10) is the logarithm of 10 to the base 5:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (10) = 1.4306765580734.

Calculate Log Base 5 of 10

To solve the equation log 5 (10) = 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 = 10, a = 5:
    log 5 (10) = log(10) / log(5)
  3. Evaluate the term:
    log(10) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 1.4306765580734
    = Logarithm of 10 with base 5
Here’s the logarithm of 5 to the base 10.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 1.4306765580734 = 10
  • 5 1.4306765580734 = 10 is the exponential form of log5 (10)
  • 5 is the logarithm base of log5 (10)
  • 10 is the argument of log5 (10)
  • 1.4306765580734 is the exponent or power of 5 1.4306765580734 = 10
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log5 10?

Log5 (10) = 1.4306765580734.

How do you find the value of log 510?

Carry out the change of base logarithm operation.

What does log 5 10 mean?

It means the logarithm of 10 with base 5.

How do you solve log base 5 10?

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

What is the log base 5 of 10?

The value is 1.4306765580734.

How do you write log 5 10 in exponential form?

In exponential form is 5 1.4306765580734 = 10.

What is log5 (10) equal to?

log base 5 of 10 = 1.4306765580734.

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 5 of 10 = 1.4306765580734.

You now know everything about the logarithm with base 5, argument 10 and exponent 1.4306765580734.
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 Log5 (10).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(9.5)=1.3988062423618
log 5(9.51)=1.3994599351465
log 5(9.52)=1.4001129409181
log 5(9.53)=1.4007652611193
log 5(9.54)=1.401416897188
log 5(9.55)=1.4020678505578
log 5(9.56)=1.4027181226575
log 5(9.57)=1.4033677149117
log 5(9.58)=1.4040166287404
log 5(9.59)=1.4046648655593
log 5(9.6)=1.4053124267796
log 5(9.61)=1.4059593138079
log 5(9.62)=1.4066055280466
log 5(9.63)=1.4072510708938
log 5(9.64)=1.4078959437432
log 5(9.65)=1.4085401479839
log 5(9.66)=1.4091836850011
log 5(9.67)=1.4098265561755
log 5(9.68)=1.4104687628833
log 5(9.69)=1.4111103064969
log 5(9.7)=1.4117511883841
log 5(9.71)=1.4123914099086
log 5(9.72)=1.4130309724299
log 5(9.73)=1.4136698773032
log 5(9.74)=1.4143081258797
log 5(9.75)=1.4149457195063
log 5(9.76)=1.4155826595257
log 5(9.77)=1.4162189472767
log 5(9.78)=1.4168545840939
log 5(9.79)=1.4174895713076
log 5(9.8)=1.4181239102443
log 5(9.81)=1.4187576022264
log 5(9.82)=1.4193906485721
log 5(9.83)=1.4200230505957
log 5(9.84)=1.4206548096075
log 5(9.85)=1.4212859269137
log 5(9.86)=1.4219164038167
log 5(9.87)=1.4225462416147
log 5(9.88)=1.4231754416022
log 5(9.89)=1.4238040050697
log 5(9.9)=1.4244319333036
log 5(9.91)=1.4250592275866
log 5(9.92)=1.4256858891975
log 5(9.93)=1.4263119194112
log 5(9.94)=1.4269373194988
log 5(9.95)=1.4275620907275
log 5(9.96)=1.4281862343606
log 5(9.97)=1.4288097516579
log 5(9.98)=1.429432643875
log 5(9.99)=1.4300549122641
log 5(10)=1.4306765580734
log 5(10.01)=1.4312975825474
log 5(10.02)=1.4319179869271
log 5(10.03)=1.4325377724493
log 5(10.04)=1.4331569403477
log 5(10.05)=1.4337754918518
log 5(10.06)=1.4343934281877
log 5(10.07)=1.4350107505778
log 5(10.08)=1.4356274602409
log 5(10.09)=1.4362435583921
log 5(10.1)=1.4368590462429
log 5(10.11)=1.4374739250012
log 5(10.12)=1.4380881958714
log 5(10.13)=1.4387018600541
log 5(10.14)=1.4393149187468
log 5(10.15)=1.4399273731429
log 5(10.16)=1.4405392244327
log 5(10.17)=1.4411504738027
log 5(10.18)=1.4417611224362
log 5(10.19)=1.4423711715128
log 5(10.2)=1.4429806222086
log 5(10.21)=1.4435894756964
log 5(10.22)=1.4441977331454
log 5(10.23)=1.4448053957215
log 5(10.24)=1.4454124645871
log 5(10.25)=1.4460189409013
log 5(10.26)=1.4466248258197
log 5(10.27)=1.4472301204945
log 5(10.28)=1.4478348260747
log 5(10.29)=1.4484389437057
log 5(10.3)=1.4490424745298
log 5(10.31)=1.4496454196859
log 5(10.32)=1.4502477803094
log 5(10.33)=1.4508495575328
log 5(10.34)=1.4514507524849
log 5(10.35)=1.4520513662916
log 5(10.36)=1.4526514000751
log 5(10.37)=1.4532508549547
log 5(10.38)=1.4538497320465
log 5(10.39)=1.454448032463
log 5(10.4)=1.4550457573139
log 5(10.41)=1.4556429077054
log 5(10.42)=1.4562394847407
log 5(10.43)=1.4568354895198
log 5(10.44)=1.4574309231395
log 5(10.45)=1.4580257866933
log 5(10.46)=1.4586200812719
log 5(10.47)=1.4592138079627
log 5(10.48)=1.4598069678498
log 5(10.49)=1.4603995620144
log 5(10.5)=1.4609915915348
log 5(10.51)=1.4615830574857

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