(log 125 - log5)/
log 25 . Evaluate each of the following by simplification , using laws of logarithm .
Answers
Step-by-step explanation:
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We can simplify the expression as follows, using the laws of logarithms:
(log 125 - log 5) / log 25
= log (125/5) / log 25 [using the quotient rule of logarithms]
= log 25 / log 25 [since 125/5 = 25]
= 1
Therefore, the value of the expression is 1.
A logarithm is a mathematical function that helps us to solve problems involving large numbers or exponential growth. It is a way of expressing a number as a power or exponent of another number, called the base.
The logarithm of a number "x" to a given base "b" is the power to which the base "b" must be raised to get the number "x". In other words, if y = log base b (x), then b^y = x.
Logarithms are widely used in mathematics, science, engineering, and many other fields. They can be used to simplify complex calculations, convert between different units of measurement, and solve equations involving exponential functions. There are different types of logarithms, such as natural logarithms (base "e") and common logarithms (base 10).
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