Home » Logarithms of 5 » Log5 (1)

Log 5 (1)

Log 5 (1) is the logarithm of 1 to the base 5:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (1) = 0.

Calculate Log Base 5 of 1

To solve the equation log 5 (1) = 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 = 1, a = 5:
    log 5 (1) = log(1) / log(5)
  3. Evaluate the term:
    log(1) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 0
    = Logarithm of 1 with base 5
Here’s the logarithm of 5 to the base 1.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 0 = 1
  • 5 0 = 1 is the exponential form of log5 (1)
  • 5 is the logarithm base of log5 (1)
  • 1 is the argument of log5 (1)
  • 0 is the exponent or power of 5 0 = 1
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 1?

Log5 (1) = 0.

How do you find the value of log 51?

Carry out the change of base logarithm operation.

What does log 5 1 mean?

It means the logarithm of 1 with base 5.

How do you solve log base 5 1?

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

What is the log base 5 of 1?

The value is 0.

How do you write log 5 1 in exponential form?

In exponential form is 5 0 = 1.

What is log5 (1) equal to?

log base 5 of 1 = 0.

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 1 = 0.

You now know everything about the logarithm with base 5, argument 1 and exponent 0.
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 (1).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(0.5)=-0.43067655807339
log 5(0.51)=-0.41837249393821
log 5(0.52)=-0.40630735883292
log 5(0.53)=-0.39447204985732
log 5(0.54)=-0.38285797461544
log 5(0.55)=-0.37145701374181
log 5(0.56)=-0.36026148680444
log 5(0.57)=-0.34926412122565
log 5(0.58)=-0.33845802390589
log 5(0.59)=-0.32783665527326
log 5(0.6)=-0.31739380551401
log 5(0.61)=-0.30712357276784
log 5(0.62)=-0.29702034309607
log 5(0.63)=-0.28707877205265
log 5(0.64)=-0.27729376770643
log 5(0.65)=-0.2676604749797
log 5(0.66)=-0.25817426118243
log 5(0.67)=-0.24883070263422
log 5(0.68)=-0.23962557227741
log 5(0.69)=-0.23055482819442
log 5(0.7)=-0.22161460295123
log 5(0.71)=-0.21280119369675
log 5(0.72)=-0.20411105295464
log 5(0.73)=-0.19554078005018
log 5(0.74)=-0.18708711312046
log 5(0.75)=-0.1787469216608
log 5(0.76)=-0.17051719956485
log 5(0.77)=-0.16239505861964
log 5(0.78)=-0.15437772242033
log 5(0.79)=-0.14646252067255
log 5(0.8)=-0.13864688385321
log 5(0.81)=-0.13092833820284
log 5(0.82)=-0.12330450102527
log 5(0.83)=-0.11577307627213
log 5(0.84)=-0.10833185039185
log 5(0.85)=-0.1009786884242
log 5(0.86)=-0.093711530323329
log 5(0.87)=-0.086528387493301
log 5(0.88)=-0.079427339521629
log 5(0.89)=-0.072406531097373
log 5(0.9)=-0.065464169101422
log 5(0.91)=-0.058598519857536
log 5(0.92)=-0.05180790653362
log 5(0.93)=-0.045090706683478
log 5(0.94)=-0.038445349920027
log 5(0.95)=-0.031870315711635
log 5(0.96)=-0.025364131293835
log 5(0.97)=-0.018925369689249
log 5(0.98)=-0.012552647829058
log 5(0.99)=-0.0062446247698372
log 5(1)=2.7592814014082E-16
log 5(1.01)=0.0061824881695
log 5(1.02)=0.01230406413518
log 5(1.03)=0.018365916456411
log 5(1.04)=0.024369199240476
log 5(1.05)=0.030315033461367
log 5(1.06)=0.036204508216071
log 5(1.07)=0.04203868192187
log 5(1.08)=0.047818583457956
log 5(1.09)=0.053545213254433
log 5(1.1)=0.059219544331585
log 5(1.11)=0.064842523292129
log 5(1.12)=0.070415071268954
log 5(1.13)=0.075938084830752
log 5(1.14)=0.081412436847743
log 5(1.15)=0.086838977319594
log 5(1.16)=0.0922185341675
log 5(1.17)=0.097551913992267
log 5(1.18)=0.10283990280013
log 5(1.19)=0.10808326669797
log 5(1.2)=0.11328275255938
log 5(1.21)=0.11843908866317
log 5(1.22)=0.12355298530555
log 5(1.23)=0.12862513538732
log 5(1.24)=0.13365621497732
log 5(1.25)=0.13864688385321
log 5(1.26)=0.14359778602075
log 5(1.27)=0.14850955021248
log 5(1.28)=0.15338279036697
log 5(1.29)=0.15821810608926
log 5(1.3)=0.16301608309369
log 5(1.31)=0.1677772936296
log 5(1.32)=0.17250229689096
log 5(1.33)=0.17719163941053
log 5(1.34)=0.18184585543918
log 5(1.35)=0.18646546731117
log 5(1.36)=0.19105098579598
log 5(1.37)=0.19560291043717
log 5(1.38)=0.20012172987897
log 5(1.39)=0.20460792218108
log 5(1.4)=0.20906195512217
log 5(1.41)=0.21348428649257
log 5(1.42)=0.21787536437665
log 5(1.43)=0.22223562742527
log 5(1.44)=0.22656550511876
log 5(1.45)=0.23086541802071
log 5(1.46)=0.23513577802321
log 5(1.47)=0.23937698858353
log 5(1.48)=0.24358944495293
log 5(1.49)=0.24777353439765
log 5(1.5)=0.25192963641259

Base 2 Logarithm Quiz

Take our free base 2 logarithm quiz practice to test your knowledge of the binary logarithm.

Take Base 2 Logarithm Quiz Now!
Scroll to Top