![]() ![]() (Since these two transformations operate perpendicularly to each other, the order they are done does not matter, but it is a good idea to do all transformations in a prescribed order in order to establish a routine that will always work). That is, for any real number x, For example, the binary logarithm of 1 is 0, the binary logarithm of 2 is 1, the binary logarithm of 4 is 2, and the binary logarithm of 32 is 5. ![]() why is it log base 2 (x+2) and not (x-2) The blue graph is shifted 2 points. In mathematics, the binary logarithm ( log2 n) is the power to which the number 2 must be raised to obtain the value n. For example, look at the two functions in this graph: Figure 2. ![]() Transformations on the graph of \(y\) needed to obtain the graph of \(f(x)\) are: move left \(2\) units (subtract 2 from all the \(x\)-coordinates), then vertically stretch by a factor of \(5\) (multiply all \(y\)-coordinates by 5). If you are graphing a common log (that is, the base-10 log) or a natural log (that is, the base-e log), just use your calculator to get the (approximate) plot points. Sal is given a graph of a logarithmic function with four possible formulas. Log base 2 also known as binary logarithm is the power to which the number 2 must be raised to obtain the value of n. To help with this, we sometimes plot the log of a function. ![]()
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