Logarithm Formulas
There are several logarithm formulas, but some of the most common ones are:
- Logarithmic identity:
log(b^x) = x * log(b)- Product rule:
log(b, xy) = log(b, x) + log(b, y)- Quotient rule:
log(b, x/y) = log(b, x) – log(b, y)- Power rule:
log(b, x^p) = p * log(b, x)- Change of base formula:
log(b, x) = log(a, x) / log(a, b)Where:
- b is the base of the logarithm
- x and y are the arguments of the logarithm
- p is a constant
- a is a different base, usually chosen to be 10 or e.
Logarithm: Aptitude Question and Answers
Logarithm is an important topic that needs to be prepared well for the Quantitative Aptitude section of exams in India. It requires practicing a lot of questions within time. Logarithmic formulas make it easy to solve questions easily in competitive examinations. The following article covers the concepts, formulas, and rules that a learner needs to know before approaching the questions.
Logarithmic function is inverse to the exponential function. A logarithm to the base b is the power to which b must be raised to produce a given number. For example, is equal to the power to which 2 must be raised in order to produce 8. Clearly, 2^3 = 8 so = 3. In general, for b > 0 and b not equal to 1.