Determine algebraically the equation of the inverse function of an exponential function. Graphically represent the inverse function, showing that its inverse is a logarithmic function.

Oct 3, 2014 · Perhaps counterintuitively, sometimes it is convenient to define the natural logarithm first and then define the exponential function $x \mapsto e^x$ to be its inverse, which leads to …

Apr 30, 2025 · In simple terms: The opposite of exponential growth is exponential decay, but depending on the context, it can also mean linear decrease, arithmetic decline, or logarithmic …

Logarithms are the opposite of exponentials, just as subtraction is the opposite of addition and division is the opposite of multiplication. Logs undo exponentials.

Since an exponential function is a one-to-one function, its inverse is also a one-to-one function. Therefore, the inverse of an exponential function is also a function. We can graph the inverse …

Jun 20, 2025 · Discover the fascinating concept of 'exponent's inverse' explained in this article. Unravel the mathematical antithesis, base-to-power relations, and explore non-exponential …

Here's an opposite word from our thesaurus that you can use as an antonym for exponential.

Discover 15 antonyms of Exponential to express ideas with clarity and contrast.

The antonyms of exponential are linear, gradual, and steady. The antonyms convey a different rate or pattern of growth, change, or development.

exponential functions and logarithmic functions are both one-to-one functions, so both have inverse functions. The inverse of an exponential function is a logarithmic function, and the …