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Log 2 (3)

Log 2 (3) is the logarithm of 3 to the base 2:

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Result:
Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log2 (3) = 1.5849625007212.

Calculate Log Base 2 of 3

To solve the equation log 2 (3) = 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 = 3, a = 2:
    log 2 (3) = log(3) / log(2)
  3. Evaluate the term:
    log(3) / log(2)
    = 1.39794000867204 / 1.92427928606188
    = 1.5849625007212
    = Logarithm of 3 with base 2
Here’s the logarithm of 2 to the base 3.

Additional Information

  • From the definition of logarithm b y = x ⇔ y = log b(x) follows that 2 1.5849625007212 = 3
  • 2 1.5849625007212 = 3 is the exponential form of log2 (3)
  • 2 is the logarithm base of log2 (3)
  • 3 is the argument of log2 (3)
  • 1.5849625007212 is the exponent or power of 2 1.5849625007212 = 3
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 3?

Log2 (3) = 1.5849625007212.

How do you find the value of log 23?

Carry out the change of base logarithm operation.

What does log 2 3 mean?

It means the logarithm of 3 with base 2.

How do you solve log base 2 3?

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

What is the log base 2 of 3?

The value is 1.5849625007212.

How do you write log 2 3 in exponential form?

In exponential form is 2 1.5849625007212 = 3.

What is log2 (3) equal to?

log base 2 of 3 = 1.5849625007212.
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 3 = 1.5849625007212.

You now know everything about the logarithm with base 2, argument 3 and exponent 1.5849625007212.
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 (3).

Table

Our quick conversion table is easy to use:
log 2(x) Value
log 2(2.5)=1.3219280948874
log 2(2.51)=1.327687364176
log 2(2.52)=1.3334237337252
log 2(2.53)=1.3391373849196
log 2(2.54)=1.3448284969974
log 2(2.55)=1.3504972470841
log 2(2.56)=1.3561438102253
log 2(2.57)=1.3617683594192
log 2(2.58)=1.3673710656485
log 2(2.59)=1.3729520979118
log 2(2.6)=1.3785116232537
log 2(2.61)=1.3840498067952
log 2(2.62)=1.3895668117627
log 2(2.63)=1.3950627995176
log 2(2.64)=1.4005379295837
log 2(2.65)=1.4059923596758
log 2(2.66)=1.4114262457265
log 2(2.67)=1.4168397419128
log 2(2.68)=1.422233000683
log 2(2.69)=1.4276061727819
log 2(2.7)=1.4329594072761
log 2(2.71)=1.4382928515791
log 2(2.72)=1.4436066514756
log 2(2.73)=1.4489009511451
log 2(2.74)=1.4541758931858
log 2(2.75)=1.4594316186373
log 2(2.76)=1.4646682670034
log 2(2.77)=1.4698859762745
log 2(2.78)=1.4750848829488
log 2(2.79)=1.4802651220545
log 2(2.8)=1.4854268271702
log 2(2.81)=1.4905701304462
log 2(2.82)=1.4956951626241
log 2(2.83)=1.5008020530572
log 2(2.84)=1.50589092973
log 2(2.85)=1.5109619192774
log 2(2.86)=1.5160151470037
log 2(2.87)=1.521050736901
log 2(2.88)=1.5260688116676
log 2(2.89)=1.5310694927259
log 2(2.9)=1.5360529002402
log 2(2.91)=1.5410191531336
log 2(2.92)=1.5459683691053
log 2(2.93)=1.5509006646475
log 2(2.94)=1.5558161550616
log 2(2.95)=1.5607149544745
log 2(2.96)=1.5655971758542
log 2(2.97)=1.570462931026
log 2(2.98)=1.5753123306874
log 2(2.99)=1.5801454844234
log 2(3)=1.5849625007212
log 2(3.01)=1.589763486985
log 2(3.02)=1.5945485495503
log 2(3.03)=1.5993177936982
log 2(3.04)=1.6040713236689
log 2(3.05)=1.6088092426755
log 2(3.06)=1.6135316529179
log 2(3.07)=1.6182386555954
log 2(3.08)=1.6229303509202
log 2(3.09)=1.6276068381296
log 2(3.1)=1.6322682154995
log 2(3.11)=1.6369145803559
log 2(3.12)=1.6415460290875
log 2(3.13)=1.6461626571579
log 2(3.14)=1.6507645591169
log 2(3.15)=1.6553518286125
log 2(3.16)=1.6599245584024
log 2(3.17)=1.6644828403647
log 2(3.18)=1.6690267655096
log 2(3.19)=1.6735564239901
log 2(3.2)=1.6780719051126
log 2(3.21)=1.6825732973476
log 2(3.22)=1.6870606883399
log 2(3.23)=1.6915341649192
log 2(3.24)=1.6959938131099
log 2(3.25)=1.7004397181411
log 2(3.26)=1.7048719644563
log 2(3.27)=1.7092906357234
log 2(3.28)=1.7136958148434
log 2(3.29)=1.7180875839605
log 2(3.3)=1.7224660244711
log 2(3.31)=1.7268312170325
log 2(3.32)=1.7311832415722
log 2(3.33)=1.7355221772965
log 2(3.34)=1.7398481026993
log 2(3.35)=1.7441610955704
log 2(3.36)=1.748461233004
log 2(3.37)=1.7527485914071
log 2(3.38)=1.7570232465075
log 2(3.39)=1.7612852733616
log 2(3.4)=1.765534746363
log 2(3.41)=1.7697717392494
log 2(3.42)=1.7739963251112
log 2(3.43)=1.7782085763981
log 2(3.44)=1.7824085649274
log 2(3.45)=1.7865963618908
log 2(3.46)=1.790772037862
log 2(3.47)=1.7949356628035
log 2(3.48)=1.799087306074
log 2(3.49)=1.8032270364349
log 2(3.5)=1.8073549220576
log 2(3.51)=1.8114710305298

Base 2 Logarithm Quiz

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