Home » Logarithms of 2 » Log2 (40)

Log 2 (40)

Log 2 (40) is the logarithm of 40 to the base 2:

Calculator

log

Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log2 (40) = 5.3219280948874.

Calculate Log Base 2 of 40

To solve the equation log 2 (40) = 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 = 40, a = 2:
    log 2 (40) = log(40) / log(2)
  3. Evaluate the term:
    log(40) / log(2)
    = 1.39794000867204 / 1.92427928606188
    = 5.3219280948874
    = Logarithm of 40 with base 2
Here’s the logarithm of 2 to the base 40.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 2 5.3219280948874 = 40
  • 2 5.3219280948874 = 40 is the exponential form of log2 (40)
  • 2 is the logarithm base of log2 (40)
  • 40 is the argument of log2 (40)
  • 5.3219280948874 is the exponent or power of 2 5.3219280948874 = 40
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 40?

Log2 (40) = 5.3219280948874.

How do you find the value of log 240?

Carry out the change of base logarithm operation.

What does log 2 40 mean?

It means the logarithm of 40 with base 2.

How do you solve log base 2 40?

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

What is the log base 2 of 40?

The value is 5.3219280948874.

How do you write log 2 40 in exponential form?

In exponential form is 2 5.3219280948874 = 40.

What is log2 (40) equal to?

log base 2 of 40 = 5.3219280948874.

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 40 = 5.3219280948874.

You now know everything about the logarithm with base 2, argument 40 and exponent 5.3219280948874.
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 (40).

Table

Our quick conversion table is easy to use:
log 2(x) Value
log 2(39.5)=5.3037807481771
log 2(39.51)=5.3041459412029
log 2(39.52)=5.30451104181
log 2(39.53)=5.3048760500449
log 2(39.54)=5.3052409659545
log 2(39.55)=5.3056057895854
log 2(39.56)=5.3059705209844
log 2(39.57)=5.306335160198
log 2(39.58)=5.3066997072728
log 2(39.59)=5.3070641622554
log 2(39.6)=5.3074285251922
log 2(39.61)=5.3077927961299
log 2(39.62)=5.3081569751148
log 2(39.63)=5.3085210621933
log 2(39.64)=5.3088850574118
log 2(39.65)=5.3092489608166
log 2(39.66)=5.3096127724541
log 2(39.67)=5.3099764923706
log 2(39.68)=5.3103401206121
log 2(39.69)=5.3107036572251
log 2(39.7)=5.3110671022556
log 2(39.71)=5.3114304557497
log 2(39.72)=5.3117937177536
log 2(39.73)=5.3121568883134
log 2(39.74)=5.3125199674749
log 2(39.75)=5.3128829552844
log 2(39.76)=5.3132458517876
log 2(39.77)=5.3136086570305
log 2(39.78)=5.313971371059
log 2(39.79)=5.314333993919
log 2(39.8)=5.3146965256563
log 2(39.81)=5.3150589663166
log 2(39.82)=5.3154213159458
log 2(39.83)=5.3157835745895
log 2(39.84)=5.3161457422934
log 2(39.85)=5.3165078191031
log 2(39.86)=5.3168698050643
log 2(39.87)=5.3172317002226
log 2(39.88)=5.3175935046235
log 2(39.89)=5.3179552183124
log 2(39.9)=5.318316841335
log 2(39.91)=5.3186783737365
log 2(39.92)=5.3190398155625
log 2(39.93)=5.3194011668583
log 2(39.94)=5.3197624276692
log 2(39.95)=5.3201235980406
log 2(39.96)=5.3204846780177
log 2(39.97)=5.3208456676457
log 2(39.98)=5.3212065669699
log 2(39.99)=5.3215673760354
log 2(40)=5.3219280948874
log 2(40.01)=5.3222887235709
log 2(40.02)=5.322649262131
log 2(40.03)=5.3230097106128
log 2(40.04)=5.3233700690613
log 2(40.05)=5.3237303375213
log 2(40.06)=5.324090516038
log 2(40.07)=5.3244506046561
log 2(40.08)=5.3248106034205
log 2(40.09)=5.325170512376
log 2(40.1)=5.3255303315676
log 2(40.11)=5.3258900610398
log 2(40.12)=5.3262497008375
log 2(40.13)=5.3266092510053
log 2(40.14)=5.3269687115879
log 2(40.15)=5.3273280826299
log 2(40.16)=5.327687364176
log 2(40.17)=5.3280465562707
log 2(40.18)=5.3284056589586
log 2(40.19)=5.328764672284
log 2(40.2)=5.3291235962916
log 2(40.21)=5.3294824310256
log 2(40.22)=5.3298411765306
log 2(40.23)=5.3301998328509
log 2(40.24)=5.3305584000308
log 2(40.25)=5.3309168781146
log 2(40.26)=5.3312752671466
log 2(40.27)=5.331633567171
log 2(40.28)=5.3319917782321
log 2(40.29)=5.3323499003739
log 2(40.3)=5.3327079336406
log 2(40.31)=5.3330658780763
log 2(40.32)=5.3334237337252
log 2(40.33)=5.3337815006311
log 2(40.34)=5.3341391788382
log 2(40.35)=5.3344967683904
log 2(40.36)=5.3348542693316
log 2(40.37)=5.3352116817058
log 2(40.38)=5.3355690055567
log 2(40.39)=5.3359262409284
log 2(40.4)=5.3362833878644
log 2(40.41)=5.3366404464087
log 2(40.42)=5.336997416605
log 2(40.43)=5.337354298497
log 2(40.44)=5.3377110921283
log 2(40.45)=5.3380677975426
log 2(40.46)=5.3384244147836
log 2(40.47)=5.3387809438947
log 2(40.48)=5.3391373849196
log 2(40.49)=5.3394937379017
log 2(40.5)=5.3398500028846
log 2(40.51)=5.3402061799117

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