Result of the Logarithms by using the change of base formula are follows:
[tex]log_{3}6=1.631\\log_{5}20=1.861\\ log_{2}(\frac{1}{5})=-2.322[/tex]
What is Logarithm?
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
What is Change of Base Formula?
The change of base formula is used to re-write a logarithm operation as a fraction of logarithms with a new base.
Given,
Apply change of base formula
[tex]log_{3}6=\frac{log 6}{log3} =1.631\\log_{5}20=\frac{log20}{log5} =1.861\\ log_{2}(\frac{1}{5})=\frac{log\frac{1}{5} }{log2} =-2.322[/tex]
Hence, Result of the Logarithms by using the change of base formula are follows:
[tex]log_{3}6=1.631\\log_{5}20=1.861\\ log_{2}(\frac{1}{5})=-2.322[/tex]
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