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  1. •solve simple equations requiring the use of logarithms. Contents 1. Introduction 2 2. Why do we study logarithms ? 2 3. What is a logarithm ? if x = an then log a x = n 3 4. Exercises 4 5. The first law of logarithms log a xy = log a x+log a y 4 6. The second law of logarithms log a xm = mlog a x 5 7. The third law of logarithms log a x y ...

  2. The Basics. To open the equation editor, just type: You will get a box in word to enter your equation. Now we will start by creating a simple inequality to get you started: Just type 5<=2x+y. Notice that less than equals 5 will auto-replace. There are a few shortcuts like this when working on equations.

  3. When inserting equation numbers, you can format them however you want – with or without section or chapter numbers, with any kind of separator between the numbers (e.g., 1.1, 1-1, 1_1, etc.), and with or without any kind of brackets you choose.

  4. In this booklet we will demonstrate how logarithmic functions can be used to linearise certain functions, discuss the calculus of the exponential and logarithmic functions and give some useful applications of them.

  5. To start an equation in Word, type [Alt]-[=] or click Insert Equation. To start an equation midline in Latex, wrap in dollar signs, and to start an equation on a new line, wrap in double dollar signs ($[equation]$ for inline, and $$[equation]$$ for a new line).

  6. The equation editor switches between “variable style” or “function style”, depending on whether it interprets part of an equation as a variable or a function (compare the two styles in the equation , which would not look right if it were displayed as ).

  7. Logarithm formulas. = loga x () ay = x (a; x > 0; a 6= 1) loga 1 = 0. loga a = 1. loga(mn) = loga m + loga n. m. loga = loga m. n.

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