# Log rules exponents

Read that as “the logarithm of x in base b is the exponent you put on b to The slide rule, once almost a cartoon trademark of a scientist, was. Natural logarithm (ln) definition; Natural logarithm (ln) rules & properties The natural logarithm function ln(x) is the inverse function of the exponential function. We can use the rules of exponentiation to calculate that the result is c=23=8. Let's say I didn't tell you what the exponent k was. Instead, I told that the base was.
Next Section Derivatives of Inverse Trig Functions. Basic Rules Expanding Condensing Trick Q's Change-of-Base. The next set of functions that we want to take a look at are exponential and logarithm functions. Extras [ Notes ] [ Practice Problems ] [ Assignment Problems ] Proof of Various Limit Properties [ Notes ] [ Practice Problems ] [ Assignment Problems ]. The Mean Value Theorem [ Notes ] [ Practice Problems ] [ Assignment Problems ]. This means that if you take the log of an exponential to the same base, of course , you get back to where you started:. Area Between Curves [ Notes ] [ Practice Problems ] [ Assignment Problems ]. Common Graphs [ Notes ] [ Practice Problems ] [ Assignment Problems ]. Since " 2 x " is multiplication, I can take this expression apart, according to the first of the log rules above, and turn it into an addition outside the log:. Just as when you're dealing with exponents, the above rules work only if the bases are the same. Area and Volume Formulas [ Notes ] [ Practice Problems ] [ Assignment Problems ].

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