Home » Logarithms of 2 » Log2 (16)

# Log2 (16)

Log2 (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 log2 (16) = x carry out the following steps.
1. Apply the change of base rule:
loga (x) = logb (x) / logb (a)
With b = 10:
loga (x) = log(x) / log(a)
2. Substitute the variables:
With x = 16, a = 2:
log2 (16) = log(16) / log(2)
3. Evaluate the term:
log(16) / log(2)
= 1.20411998265592 / 0.301029995663981
= 4
= Logarithm of 16 with base 2
Here’s the logarithm of 2 to the base 16.

• From the definition of logarithm by = x ⇔ y = logb(x) follows that 24 = 16
• 24 = 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 24 = 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 log216?

Carry out the change of base logarithm operation.

### What does log2 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 log2 16 in exponential form?

In exponential form is 24 = 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.

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## Table

Our quick conversion table is easy to use:
log2(x)Value
log2(15.5)=3.9541963104
log2(15.51)=3.9551267813
log2(15.52)=3.9560566524
log2(15.53)=3.9569859246
log2(15.54)=3.9579145986
log2(15.55)=3.9588426752
log2(15.56)=3.9597701552
log2(15.57)=3.9606970393
log2(15.58)=3.9616233283
log2(15.59)=3.9625490229
log2(15.6)=3.963474124
log2(15.61)=3.9643986322
log2(15.62)=3.9653225484
log2(15.63)=3.9662458732
log2(15.64)=3.9671686075
log2(15.65)=3.968090752
log2(15.66)=3.9690123075
log2(15.67)=3.9699332747
log2(15.68)=3.9708536543
log2(15.69)=3.9717734472
log2(15.7)=3.972692654
log2(15.71)=3.9736112755
log2(15.72)=3.9745293125
log2(15.73)=3.9754467656
log2(15.74)=3.9763636357
log2(15.75)=3.9772799235
log2(15.76)=3.9781956297
log2(15.77)=3.979110755
log2(15.78)=3.9800253002
log2(15.79)=3.9809392661
log2(15.8)=3.9818526533
log2(15.81)=3.9827654626
log2(15.82)=3.9836776947
log2(15.83)=3.9845893504
log2(15.84)=3.9855004303
log2(15.85)=3.9864109353
log2(15.86)=3.9873208659
log2(15.87)=3.9882302231
log2(15.88)=3.9891390074
log2(15.89)=3.9900472196
log2(15.9)=3.9909548604
log2(15.91)=3.9918619306
log2(15.92)=3.9927684308
log2(15.93)=3.9936743618
log2(15.94)=3.9945797242
log2(15.95)=3.9954845189
log2(15.96)=3.9963887464
log2(15.97)=3.9972924076
log2(15.98)=3.9981955032
log2(15.99)=3.9990980337
log2(16)=4
log2(16.01)=4.0009014027
log2(16.02)=4.0018022426
log2(16.03)=4.0027025204
log2(16.04)=4.0036022367
log2(16.05)=4.0045013922
log2(16.06)=4.0053999877
log2(16.07)=4.0062980239
log2(16.08)=4.0071955014
log2(16.09)=4.0080924209
log2(16.1)=4.0089887832
log2(16.11)=4.0098845889
log2(16.12)=4.0107798388
log2(16.13)=4.0116745334
log2(16.14)=4.0125686735
log2(16.15)=4.0134622598
log2(16.16)=4.014355293
log2(16.17)=4.0152477737
log2(16.18)=4.0161397027
log2(16.19)=4.0170310805
log2(16.2)=4.017921908
log2(16.21)=4.0188121857
log2(16.22)=4.0197019144
log2(16.23)=4.0205910948
log2(16.24)=4.0214797274
log2(16.25)=4.022367813
log2(16.26)=4.0232553523
log2(16.27)=4.0241423459
log2(16.28)=4.0250287945
log2(16.29)=4.0259146988
log2(16.3)=4.0268000593
log2(16.31)=4.0276848769
log2(16.32)=4.0285691522
log2(16.33)=4.0294528858
log2(16.34)=4.0303360784
log2(16.35)=4.0312187306
log2(16.36)=4.0321008432
log2(16.37)=4.0329824167
log2(16.38)=4.0338634519
log2(16.39)=4.0347439493
log2(16.4)=4.0356239097
log2(16.41)=4.0365033337
log2(16.42)=4.037382222
log2(16.43)=4.0382605752
log2(16.44)=4.0391383939
log2(16.45)=4.0400156788
log2(16.46)=4.0408924306
log2(16.47)=4.04176865
log2(16.48)=4.0426443374
log2(16.49)=4.0435194937
log2(16.5)=4.0443941194