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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
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.
Step 1: bring all the logs on the same side of the equation and everything else on the other side. Step 3: Exponential to cancel the log (run the hook). Step 4: Solve for x. Step 5: Check your answer. Step 1: Take logs of both sides using one of the given bases.
LN and e cancel each other out. Simplify the left by writing as one logarithm. Put in the base e on both sides. Take the logarithm of both sides.
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
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.
The inverse of natural log is (ex). Natural log is one to one function. So inverse does exist. Now try to do assuming LNG=Y.
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”.
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