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A logarithm is the inverse of an exponent. The equation log x = 100 is another way of writing 10x = 100. This relationship makes it possible to remove logarithms from an equation by raising both sides to the same exponent as the base of the logarithm.
0:04 1:15 Suggested clip Solving a natural logarithmic equation using properties of logs YouTubeStart of suggested client of suggested clip Solving a natural logarithmic equation using properties of logs
Some functions in math have a known inverse function. The log function is one of these functions. We know that the inverse of a log function is an exponential. So, we know that the inverse of f(x) = log sub(x) is f^-1(y) = by.
0:00 1:28 Suggested clip How to find the inverse of a logarithmic function, f(x) = log2 (x YouTubeStart of suggested client of suggested clip How to find the inverse of a logarithmic function, f(x) = log2 (x
Logarithms are the “opposite” of exponential, just as subtraction is the opposite of addition and division is the opposite of multiplication. Logs “undo” exponential. Technically speaking, logs are the inverses of exponential. On the left-hand side above is the exponential statement “y = bx”.
The natural logarithm function LN(x) is the inverse function of the exponential function ex.
When there is a number before the log it is the exponent of the number being logged. Example: so. Answer by josmiceli(19334) (Show Source):
A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithms of 100 is 2, because ten raised to the power of two is 100: log 100 = 2. Because. 102 = 100.
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