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# Log 2 (16)

Log 2 (16) is the logarithm of 16 to the base 2:

## Calculator

log

Result:
As you can see in our log calculator, log2 (16) = 4.

## Calculate Log Base 2 of 16

To solve the equation log 2 (16) = 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 = 16, a = 2:
log 2 (16) = log(16) / log(2)
3. Evaluate the term:
log(16) / log(2)
= 1.39794000867204 / 1.92427928606188
= 4
= Logarithm of 16 with base 2
Here’s the logarithm of 2 to the base 16.

• From the definition of logarithm b y = x ⇔ y = log b(x) follows that 2 4 = 16
• 2 4 = 16 is the exponential form of log2 (16)
• 2 is the logarithm base of log2 (16)
• 16 is the argument of log2 (16)
• 4 is the exponent or power of 2 4 = 16
BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

## FAQs

Log2 (16) = 4.

### How do you find the value of log 216?

Carry out the change of base logarithm operation.

### What does log 2 16 mean?

It means the logarithm of 16 with base 2.

### How do you solve log base 2 16?

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

The value is 4.

### How do you write log 2 16 in exponential form?

In exponential form is 2 4 = 16.

### What is log2 (16) equal to?

log base 2 of 16 = 4.

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 16 = 4.

You now know everything about the logarithm with base 2, argument 16 and exponent 4.
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 (16).

## Table

Our quick conversion table is easy to use:
log 2(x) Value
log 2(15.5)=3.9541963103869
log 2(15.51)=3.9551267812614
log 2(15.52)=3.9560566524124
log 2(15.53)=3.9569859246126
log 2(15.54)=3.957914598633
log 2(15.55)=3.9588426752432
log 2(15.56)=3.9597701552115
log 2(15.57)=3.9606970393043
log 2(15.58)=3.9616233282869
log 2(15.59)=3.9625490229231
log 2(15.6)=3.9634741239749
log 2(15.61)=3.9643986322032
log 2(15.62)=3.9653225483673
log 2(15.63)=3.9662458732249
log 2(15.64)=3.9671686075326
log 2(15.65)=3.9680907520453
log 2(15.66)=3.9690123075163
log 2(15.67)=3.9699332746979
log 2(15.68)=3.9708536543405
log 2(15.69)=3.9717734471934
log 2(15.7)=3.9726926540043
log 2(15.71)=3.9736112755195
log 2(15.72)=3.9745293124839
log 2(15.73)=3.975446765641
log 2(15.74)=3.9763636357328
log 2(15.75)=3.9772799234999
log 2(15.76)=3.9781956296817
log 2(15.77)=3.9791107550158
log 2(15.78)=3.9800253002387
log 2(15.79)=3.9809392660855
log 2(15.8)=3.9818526532897
log 2(15.81)=3.9827654625836
log 2(15.82)=3.9836776946981
log 2(15.83)=3.9845893503625
log 2(15.84)=3.9855004303049
log 2(15.85)=3.986410935252
log 2(15.86)=3.9873208659293
log 2(15.87)=3.9882302230605
log 2(15.88)=3.9891390073682
log 2(15.89)=3.9900472195738
log 2(15.9)=3.990954860397
log 2(15.91)=3.9918619305563
log 2(15.92)=3.9927684307689
log 2(15.93)=3.9936743617506
log 2(15.94)=3.9945797242157
log 2(15.95)=3.9954845188775
log 2(15.96)=3.9963887464476
log 2(15.97)=3.9972924076365
log 2(15.98)=3.9981955031533
log 2(15.99)=3.9990980337056
log 2(16)=4
log 2(16.01)=4.0009014027415
log 2(16.02)=4.001802242634
log 2(16.03)=4.0027025203798
log 2(16.04)=4.0036022366802
log 2(16.05)=4.0045013922349
log 2(16.06)=4.0053999877426
log 2(16.07)=4.0062980239004
log 2(16.08)=4.0071955014042
log 2(16.09)=4.0080924209487
log 2(16.1)=4.0089887832273
log 2(16.11)=4.0098845889318
log 2(16.12)=4.0107798387532
log 2(16.13)=4.0116745333809
log 2(16.14)=4.0125686735031
log 2(16.15)=4.0134622598066
log 2(16.16)=4.0143552929771
log 2(16.17)=4.0152477736989
log 2(16.18)=4.0161397026553
log 2(16.19)=4.0170310805278
log 2(16.2)=4.0179219079973
log 2(16.21)=4.0188121857428
log 2(16.22)=4.0197019144426
log 2(16.23)=4.0205910947732
log 2(16.24)=4.0214797274105
log 2(16.25)=4.0223678130285
log 2(16.26)=4.0232553523003
log 2(16.27)=4.0241423458978
log 2(16.28)=4.0250287944915
log 2(16.29)=4.0259146987508
log 2(16.3)=4.0268000593437
log 2(16.31)=4.0276848769372
log 2(16.32)=4.0285691521968
log 2(16.33)=4.029452885787
log 2(16.34)=4.030336078371
log 2(16.35)=4.0312187306107
log 2(16.36)=4.032100843167
log 2(16.37)=4.0329824166994
log 2(16.38)=4.0338634518663
log 2(16.39)=4.0347439493247
log 2(16.4)=4.0356239097307
log 2(16.41)=4.036503333739
log 2(16.42)=4.0373822220031
log 2(16.43)=4.0382605751754
log 2(16.44)=4.039138393907
log 2(16.45)=4.0400156788479
log 2(16.46)=4.0408924306469
log 2(16.47)=4.0417686499516
log 2(16.48)=4.0426443374085
log 2(16.49)=4.0435194936627
log 2(16.5)=4.0443941193585
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