Home » Logarithms of 5 » Log5 (13)

Log 5 (13)

Log 5 (13) is the logarithm of 13 to the base 5:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (13) = 1.5936926411671.

Calculate Log Base 5 of 13

To solve the equation log 5 (13) = 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 = 13, a = 5:
    log 5 (13) = log(13) / log(5)
  3. Evaluate the term:
    log(13) / log(5)
    = 1.39794000867204 / 1.92427928606188
    = 1.5936926411671
    = Logarithm of 13 with base 5
Here’s the logarithm of 5 to the base 13.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 5 1.5936926411671 = 13
  • 5 1.5936926411671 = 13 is the exponential form of log5 (13)
  • 5 is the logarithm base of log5 (13)
  • 13 is the argument of log5 (13)
  • 1.5936926411671 is the exponent or power of 5 1.5936926411671 = 13
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 13?

Log5 (13) = 1.5936926411671.

How do you find the value of log 513?

Carry out the change of base logarithm operation.

What does log 5 13 mean?

It means the logarithm of 13 with base 5.

How do you solve log base 5 13?

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

What is the log base 5 of 13?

The value is 1.5936926411671.

How do you write log 5 13 in exponential form?

In exponential form is 5 1.5936926411671 = 13.

What is log5 (13) equal to?

log base 5 of 13 = 1.5936926411671.
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 13 = 1.5936926411671.

You now know everything about the logarithm with base 5, argument 13 and exponent 1.5936926411671.
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 (13).

Table

Our quick conversion table is easy to use:
log 5(x) Value
log 5(12.5)=1.5693234419266
log 5(12.51)=1.5698203111531
log 5(12.52)=1.5703167833605
log 5(12.53)=1.5708128591829
log 5(12.54)=1.5713085392527
log 5(12.55)=1.5718038242009
log 5(12.56)=1.5722987146568
log 5(12.57)=1.5727932112484
log 5(12.58)=1.5732873146021
log 5(12.59)=1.5737810253429
log 5(12.6)=1.5742743440941
log 5(12.61)=1.5747672714778
log 5(12.62)=1.5752598081145
log 5(12.63)=1.575751954623
log 5(12.64)=1.576243711621
log 5(12.65)=1.5767350797246
log 5(12.66)=1.5772260595483
log 5(12.67)=1.5777166517053
log 5(12.68)=1.5782068568073
log 5(12.69)=1.5786966754645
log 5(12.7)=1.5791861082859
log 5(12.71)=1.5796751558787
log 5(12.72)=1.5801638188488
log 5(12.73)=1.5806520978009
log 5(12.74)=1.581139993338
log 5(12.75)=1.5816275060618
log 5(12.76)=1.5821146365725
log 5(12.77)=1.5826013854689
log 5(12.78)=1.5830877533486
log 5(12.79)=1.5835737408075
log 5(12.8)=1.5840593484404
log 5(12.81)=1.5845445768403
log 5(12.82)=1.5850294265993
log 5(12.83)=1.5855138983077
log 5(12.84)=1.5859979925546
log 5(12.85)=1.5864817099279
log 5(12.86)=1.5869650510138
log 5(12.87)=1.5874480163972
log 5(12.88)=1.5879306066619
log 5(12.89)=1.5884128223901
log 5(12.9)=1.5888946641627
log 5(12.91)=1.5893761325591
log 5(12.92)=1.5898572281577
log 5(12.93)=1.5903379515353
log 5(12.94)=1.5908183032675
log 5(12.95)=1.5912982839283
log 5(12.96)=1.5917778940907
log 5(12.97)=1.5922571343263
log 5(12.98)=1.5927360052051
log 5(12.99)=1.5932145072962
log 5(13)=1.5936926411671
log 5(13.01)=1.5941704073841
log 5(13.02)=1.5946478065121
log 5(13.03)=1.5951248391148
log 5(13.04)=1.5956015057547
log 5(13.05)=1.5960778069927
log 5(13.06)=1.5965537433887
log 5(13.07)=1.5970293155011
log 5(13.08)=1.5975045238872
log 5(13.09)=1.5979793691029
log 5(13.1)=1.598453851703
log 5(13.11)=1.5989279722407
log 5(13.12)=1.5994017312683
log 5(13.13)=1.5998751293366
log 5(13.14)=1.6003481669952
log 5(13.15)=1.6008208447925
log 5(13.16)=1.6012931632755
log 5(13.17)=1.6017651229903
log 5(13.18)=1.6022367244813
log 5(13.19)=1.6027079682919
log 5(13.2)=1.6031788549644
log 5(13.21)=1.6036493850395
log 5(13.22)=1.6041195590571
log 5(13.23)=1.6045893775555
log 5(13.24)=1.605058841072
log 5(13.25)=1.6055279501427
log 5(13.26)=1.6059967053023
log 5(13.27)=1.6064651070844
log 5(13.28)=1.6069331560214
log 5(13.29)=1.6074008526446
log 5(13.3)=1.6078681974839
log 5(13.31)=1.6083351910681
log 5(13.32)=1.6088018339249
log 5(13.33)=1.6092681265806
log 5(13.34)=1.6097340695605
log 5(13.35)=1.6101996633886
log 5(13.36)=1.6106649085879
log 5(13.37)=1.6111298056799
log 5(13.38)=1.6115943551853
log 5(13.39)=1.6120585576235
log 5(13.4)=1.6125224135126
log 5(13.41)=1.6129859233696
log 5(13.42)=1.6134490877105
log 5(13.43)=1.61391190705
log 5(13.44)=1.6143743819017
log 5(13.45)=1.614836512778
log 5(13.46)=1.6152983001903
log 5(13.47)=1.6157597446486
log 5(13.48)=1.616220846662
log 5(13.49)=1.6166816067384
log 5(13.5)=1.6171420253846
log 5(13.51)=1.6176021031061

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