Important Formulas: Logarithms

# Important Logarithms Formulas for JEE and NEET

The document Important Logarithms Formulas for JEE and NEET is a part of the JEE Course Mathematics (Maths) for JEE Main & Advanced.
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## Mathematics (Maths) for JEE Main & Advanced

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## FAQs on Important Logarithms Formulas for JEE and NEET

 1. What are the basic properties of logarithms?
Ans. The basic properties of logarithms include the product rule, quotient rule, power rule, and the change of base formula. These properties are essential in simplifying logarithmic expressions and solving logarithmic equations.
 2. How can logarithms be used to solve exponential equations?
Ans. Logarithms can be used to solve exponential equations by taking the logarithm of both sides of the equation and using the properties of logarithms to simplify the expression. This allows us to isolate the variable and find its value.
 3. What is the relationship between logarithms and exponential functions?
Ans. Logarithms are the inverse functions of exponential functions. This means that if y = b^x, then x = log_b(y). The logarithm tells us the exponent to which the base must be raised to obtain the given value.
 4. How can logarithms be applied in real-life situations?
Ans. Logarithms are commonly used in fields such as finance, biology, physics, and computer science. They can be used to measure the intensity of earthquakes, calculate pH levels, determine interest rates, and model population growth, among other applications.
 5. How can logarithms be graphed and what do the graphs represent?
Ans. The graph of a logarithmic function is a curve that approaches but never crosses the x-axis. The graph represents the relationship between the input (x) and the output (y) in a logarithmic equation. The shape of the graph depends on the base of the logarithm.

## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests

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