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ln(x+2)

Definition

The natural logarithm function ln(x+2) gives us the value y such that e raised to y equals x+2. It helps us find out what exponent we need for e (approximately 2.71828) in order to get x+2.

Analogy

Imagine you have a jar filled with cookies, and every day you eat half of what's left inside until there are only two cookies left. ln(x+2) is like figuring out how many days it took for there to be only two cookies left based on knowing that each day you ate half.

Related terms

Exponential Function (e^x): An exponential function raises e (approximately 2.71828) to some power x, giving us an output value.

Derivative: A derivative measures how much one quantity changes when another quantity changes. It helps us find the rate of change of a function at any given point.

Natural Base (e): The natural base e is an irrational number approximately equal to 2.71828. It is commonly used in calculus and exponential functions.

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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.