Home » Logarithms of 2 » Log2 (5)

Log 2 (5)

Log 2 (5) is the logarithm of 5 to the base 2:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log2 (5) = 2.3219280948874.

Calculate Log Base 2 of 5

To solve the equation log 2 (5) = 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 = 5, a = 2:
    log 2 (5) = log(5) / log(2)
  3. Evaluate the term:
    log(5) / log(2)
    = 1.39794000867204 / 1.92427928606188
    = 2.3219280948874
    = Logarithm of 5 with base 2
Here’s the logarithm of 2 to the base 5.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 2 2.3219280948874 = 5
  • 2 2.3219280948874 = 5 is the exponential form of log2 (5)
  • 2 is the logarithm base of log2 (5)
  • 5 is the argument of log2 (5)
  • 2.3219280948874 is the exponent or power of 2 2.3219280948874 = 5
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

FAQs

What is the value of log2 5?

Log2 (5) = 2.3219280948874.

How do you find the value of log 25?

Carry out the change of base logarithm operation.

What does log 2 5 mean?

It means the logarithm of 5 with base 2.

How do you solve log base 2 5?

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

What is the log base 2 of 5?

The value is 2.3219280948874.

How do you write log 2 5 in exponential form?

In exponential form is 2 2.3219280948874 = 5.

What is log2 (5) equal to?

log base 2 of 5 = 2.3219280948874.

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 2 of 5 = 2.3219280948874.

You now know everything about the logarithm with base 2, argument 5 and exponent 2.3219280948874.
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 Log2 (5).

Table

Our quick conversion table is easy to use:
log 2(x) Value
log 2(4.5)=2.1699250014423
log 2(4.51)=2.1731274334807
log 2(4.52)=2.1763227726405
log 2(4.53)=2.1795110502715
log 2(4.54)=2.1826922975162
log 2(4.55)=2.1858665453113
log 2(4.56)=2.18903382439
log 2(4.57)=2.1921941652833
log 2(4.58)=2.1953475983222
log 2(4.59)=2.1984941536391
log 2(4.6)=2.2016338611696
log 2(4.61)=2.2047667506546
log 2(4.62)=2.2078928516413
log 2(4.63)=2.2110121934855
log 2(4.64)=2.2141248053528
log 2(4.65)=2.2172307162207
log 2(4.66)=2.2203299548796
log 2(4.67)=2.2234225499349
log 2(4.68)=2.2265085298087
log 2(4.69)=2.2295879227407
log 2(4.7)=2.2326607567903
log 2(4.71)=2.2357270598381
log 2(4.72)=2.2387868595871
log 2(4.73)=2.2418401835647
log 2(4.74)=2.2448870591235
log 2(4.75)=2.2479275134436
log 2(4.76)=2.2509615735332
log 2(4.77)=2.2539892662308
log 2(4.78)=2.257010618206
log 2(4.79)=2.2600256559615
log 2(4.8)=2.2630344058338
log 2(4.81)=2.2660368939953
log 2(4.82)=2.2690331464552
log 2(4.83)=2.272023189061
log 2(4.84)=2.2750070474999
log 2(4.85)=2.2779847472998
log 2(4.86)=2.2809563138311
log 2(4.87)=2.2839217723076
log 2(4.88)=2.2868811477882
log 2(4.89)=2.2898344651775
log 2(4.9)=2.2927817492278
log 2(4.91)=2.29572302454
log 2(4.92)=2.2986583155645
log 2(4.93)=2.3015876466032
log 2(4.94)=2.30451104181
log 2(4.95)=2.3074285251922
log 2(4.96)=2.3103401206121
log 2(4.97)=2.3132458517876
log 2(4.98)=2.3161457422934
log 2(4.99)=2.3190398155625
log 2(5)=2.3219280948874
log 2(5.01)=2.3248106034205
log 2(5.02)=2.327687364176
log 2(5.03)=2.3305584000308
log 2(5.04)=2.3334237337252
log 2(5.05)=2.3362833878644
log 2(5.06)=2.3391373849196
log 2(5.07)=2.3419857472286
log 2(5.08)=2.3448284969974
log 2(5.09)=2.347665656301
log 2(5.1)=2.3504972470841
log 2(5.11)=2.3533232911629
log 2(5.12)=2.3561438102253
log 2(5.13)=2.3589588258323
log 2(5.14)=2.3617683594191
log 2(5.15)=2.3645724322959
log 2(5.16)=2.3673710656485
log 2(5.17)=2.3701642805402
log 2(5.18)=2.3729520979118
log 2(5.19)=2.3757345385832
log 2(5.2)=2.3785116232537
log 2(5.21)=2.3812833725038
log 2(5.22)=2.3840498067952
log 2(5.23)=2.3868109464722
log 2(5.24)=2.3895668117627
log 2(5.25)=2.3923174227788
log 2(5.26)=2.3950627995176
log 2(5.27)=2.3978029618625
log 2(5.28)=2.4005379295837
log 2(5.29)=2.4032677223393
log 2(5.3)=2.4059923596758
log 2(5.31)=2.4087118610294
log 2(5.32)=2.4114262457265
log 2(5.33)=2.4141355329844
log 2(5.34)=2.4168397419128
log 2(5.35)=2.4195388915138
log 2(5.36)=2.422233000683
log 2(5.37)=2.4249220882107
log 2(5.38)=2.4276061727819
log 2(5.39)=2.4302852729778
log 2(5.4)=2.4329594072761
log 2(5.41)=2.4356285940521
log 2(5.42)=2.4382928515791
log 2(5.43)=2.4409521980296
log 2(5.44)=2.4436066514756
log 2(5.45)=2.4462562298896
log 2(5.46)=2.4489009511451
log 2(5.47)=2.4515408330178
log 2(5.48)=2.4541758931858
log 2(5.49)=2.4568061492305
log 2(5.5)=2.4594316186373
log 2(5.51)=2.4620523187964

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