Log₂ (16)

Log₂ (16) is the logarithm of 16 to the base 2:

Calculator

Multiplication 1

×log

Base 1

Exponent 1

Multiplication 2

×log

Base 2

Exponent 2

Result: Result

Reset + Expand

Simply the Best Logarithm Calculator! Click To TweetAs 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:
   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:
   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.

Additional Information

• From the definition of logarithm b^y = x ⇔ y = log_b(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:

• log₂ (21)
• log₂ (22)
• log₂ (23)

FAQs

What is the value of log2 16?

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.

What is the log base 2 of 16?

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: