Log ₅ (108)

Log ₅ (108) is the logarithm of 108 to the base 5:

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Simply the Best Logarithm Calculator! Click To Tweet As you can see in our log calculator, log5 (108) = 2.9091716996047.

Calculate Log Base 5 of 108

To solve the equation log ₅ (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 = 5:
   log ₅ (108) = log(108) / log(5)
3. Evaluate the term:
   log(108) / log(5)
   = 1.39794000867204 / 1.92427928606188
   = 2.9091716996047
   = Logarithm of 108 with base 5

Here’s the logarithm of 5 to the base 108.

Additional Information

• From the definition of logarithm b ^y = x ⇔ y = log _b(x) follows that 5 ^{2.9091716996047} = 108
• 5 ^{2.9091716996047} = 108 is the exponential form of log5 (108)
• 5 is the logarithm base of log5 (108)
• 108 is the argument of log5 (108)
• 2.9091716996047 is the exponent or power of 5 ^{2.9091716996047} = 108

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

Frequently searched terms on our site include:

• log ₅ (109)
• log ₅ (110)
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FAQs

What is the value of log5 108?

Log5 (108) = 2.9091716996047.

How do you find the value of log ₅108?

Carry out the change of base logarithm operation.

What does log ₅ 108 mean?

It means the logarithm of 108 with base 5.

How do you solve log base 5 108?

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

What is the log base 5 of 108?

The value is 2.9091716996047.

How do you write log ₅ 108 in exponential form?

In exponential form is 5 ^{2.9091716996047} = 108.

What is log5 (108) equal to?

log base 5 of 108 = 2.9091716996047.

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 5 of 108 = 2.9091716996047.

You now know everything about the logarithm with base 5, argument 108 and exponent 2.9091716996047.
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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