It comes up often enough that you should know about it (or at least will know about it). e^(2x) is just (e^x)^2 -- so your equation is a quadratic equation in e^x... and you know how to solve quadratic equations.A log question is a type of question that involves using logarithms, which are mathematical functions that help solve problems involving exponents and powers. These questions often require the use of logarithmic properties and rules to simplify and solve equations.
To solve a log question, you first need to identify the logarithmic function being used (common, natural, base 10, etc.) and its base. Then, you can use logarithmic properties and rules to simplify the equation and isolate the variable. Finally, you can solve for the variable using basic algebraic techniques.
Some common properties and rules of logarithms include the product rule, quotient rule, power rule, and change of base formula. These rules help simplify logarithmic equations and make them easier to solve.
Yes, logarithms are used in many real-life situations, particularly in science and engineering. They are often used to measure the intensity of earthquakes, sound, and pH levels. They are also used in finance, biology, and chemistry to solve complex problems involving exponential growth and decay.
Some tips for solving log questions include practicing common properties and rules, understanding the concept of logarithms and how they relate to exponents, and using a calculator to check your answers. It is also helpful to review basic algebraic techniques, as they are often used in solving log equations.