A special characteristics of logarithms is that, [latex]\dfrac{\log M}{\log N} = \dfrac{\ln M}{\ln N} [/latex]. Acceleration without force in rotational motion? Would the reflected sun's radiation melt ice in LEO? First, we'll deal with the negative exponent. 3 2 = 3 3 = 9. An exponential equation is an equation in which a variable occurs as an exponent. How do you solve equations like using a log? Example: ln (8) (6) = ln (8) + ln (6) Quotient Rule ln (x/y) = ln (x) - ln (y) The natural log of the division of x and y is the difference of the ln of x and ln of y. It can be canceled out like any other term. do:=100 Type <space> this terminates the math-region Type the unit; e.g. The documentation for the shortcuts in the Unicode technical note UTN28 is in Appendix B of Unicode Nearly Plain Text Encoding of Mathematics . In equations that contain a mixture of logarithms and other algebraic terms, it's important to collect all the logarithms on one side of the equation. http://i.imgur.com/Cg1OS81.png how would I solve this? Keep in mind that during this process, the order of operations will still apply. The number of distinct words in a sentence. Typically, the outside exponent would have to be multiplied throughout each number and variable in the brackets. More generally, you could say exponentials are injective, so this reasoning can be applied to bases $0