Log ₁₀ (108)

Log ₁₀ (108) is the logarithm of 108 to the base 10:

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 Tweet As you can see in our log calculator, log10 (108) = 2.0334237554869.

Calculate Log Base 10 of 108

To solve the equation log ₁₀ (108) = 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 = 108, a = 10:
   log ₁₀ (108) = log(108) / log(10)
3. Evaluate the term:
   log(108) / log(10)
   = 1.39794000867204 / 1.92427928606188
   = 2.0334237554869
   = Logarithm of 108 with base 10

Here’s the logarithm of 10 to the base 108.

Additional Information

• From the definition of logarithm b ^y = x ⇔ y = log _b(x) follows that 10 ^{2.0334237554869} = 108
• 10 ^{2.0334237554869} = 108 is the exponential form of log10 (108)
• 10 is the logarithm base of log10 (108)
• 108 is the argument of log10 (108)
• 2.0334237554869 is the exponent or power of 10 ^{2.0334237554869} = 108

BTW: Logarithmic equations have many uses in various contexts in science.

Frequently searched terms on our site include:

• log ₁₀ (109)
• log ₁₀ (110)
• log ₁₀ (107)

FAQs

What is the value of log10 108?

Log10 (108) = 2.0334237554869.

How do you find the value of log ₁₀108?

Carry out the change of base logarithm operation.

What does log ₁₀ 108 mean?

It means the logarithm of 108 with base 10.

How do you solve log base 10 108?

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

What is the log base 10 of 108?

The value is 2.0334237554869.

How do you write log ₁₀ 108 in exponential form?

In exponential form is 10 ^{2.0334237554869} = 108.

What is log10 (108) equal to?

log base 10 of 108 = 2.0334237554869.

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 10 of 108 = 2.0334237554869.

You now know everything about the logarithm with base 10, argument 108 and exponent 2.0334237554869.
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 Log10 (108).

Table

Our quick conversion table is easy to use:

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!