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We use can logarithms to solve exponential equations: = b is x = log a bFor example, the solution of ex. 2 is x = log e 2. To find the value of this logarithm, we need to use a calculator. log e 2 = 0.6931.Note Logarithms were invented and used for solving exponential equations by the Scottish baron John Napi.
On a calculator it is the "log" button. It is how many times we need to use 10 in a multiplication, to get our desired number. Example: log(1000) = log 10 (1000) = 3
† Logarithmic function: Let a be a positive number with a 6= 1. The logarithmic function with base a, denoted loga x, is deflned by y = loga x if and only if x = ay: Important Formulas: † Compound Interest: is calculated by the formula A(t) = P ‡ 1+ r n ·nt where A(t) = amount after t years P = principal r = interest rate n = number of ...
to use a calculator to work out the logarithms of most numbers, but it is very important that we understand what it is that the calculator is working out for us when we push the buttons. Without a calculator we can work out the logarithms of many numbers. Examples: log 10 100 = log 10 10 2 =2 log 10 0.1=log 10 10 −1 = −1 log 10 10 √ 10 ...
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. If you need a detailed discussion of index and log laws, then the Mathematics Learning
Definition of Logarithm. Suppose b>0 and b≠1, there is a number ‘p’ such that: log n . p if and on. ly p b. if b n. Now a mathematician understands exactly what that means. But, many a student is left scratching their head.
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