the answer to the given logarithm expression is log₃ 125 = 3
Another technique to explain exponents in mathematics is through logarithms. A base number's logarithm equals another number.
The power's inverse function is the logarithm. For instance, log10 100 = 2 if 102 = 100. A power to which a number must be increased in order to achieve another value is referred to as a logarithm.
This is the most practical method for displaying enormous numbers. Logarithms have several important properties that prove that multiplication and division of logarithms can be written in terms of addition and subtraction logarithms. A second name for the common logarithm is the base 10 logarithm.. This is represented as log10 or simply log. The base 10 logarithm is another name for the common logarithm. The common logarithm specifies the number of times the number 10 must be multiplied in order to produce the desired result.. We need to evaluate log₃ 125
Using the property
logₐ (mⁿ) = n logₐ m
125 = 5³log₃ 125 can be written as log₃ 125= 3 log₅ 5
We know that logₐ a = 13 log₅ 5= 3
Therefore, we calculated the logarithm, which is log₃ 125 = 3
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