Because exponential and logarithmic functions are inverses of one another, if we have the graph of the exponential function, we can find the corresponding log function simply by reflecting the graph over the line y=x, or by flipping the x- and y-values in all coordinate points. Let’s use some graphs from the previous section to illustrate what we mean.
Read MoreThe general log rule relates the logarithmic function to an exponential function. It tells us that log_a(y)=x and a^x=y are equivalent, and similarly, that log_a(x}=y and a^y=x are equivalent.
Read MoreThe derivatives of base-10 logs and natural logs follow a simple derivative formula that we can use to differentiate them. With derivatives of logarithmic functions, it’s always important to apply chain rule and multiply by the derivative of the log’s argument.
Read MoreYou can always evaluate logs using the general log rule, but sometimes, depending on the value of the base and the argument, simplifying the exponential expression can be a little tricky.
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