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  1. This booklet explains what is meant by a logarithm. It states and illustrates the laws of llogarithms. It explains the standard bases 10 and e. Finally it shows how logarithms can be used to solve certain types of equations.

  2. Logarithms - changing the base. Sometimes it is necessary to find logs to bases other then 10 and e. There is a formula which enables us to do this. This leaflet states and illustrates the use of this formula.

  3. Find the logarithm of 1/324 to the base 3√2. Solution.

  4. We use the following two rules for logs : 1. $\\log_a(b)-\\log_a(c)=\\log_a(b/c)$ 2. $\\log_a(p)=r \\Rightarrow p=a^r$ Using rule 1 we get \\[\\log_{\\var{a}}(x+\\var{b})- \\log_{\\var{a}}(\\simplify{(x+{c})})=\\log_{\\var{a}}\\left(\\simplify{(x+{b})/(x+{c})}\\right)\\] So the equation to solve becomes:

  5. Introduction to Logarithms. In its simplest form, a logarithm answers the question: How many of one number multiply together to make another number? Example: How many 2 s multiply together to make 8? Answer: 2 × 2 × 2 = 8, so we had to multiply 3 of the 2 s to get 8. So the logarithm is 3. How to Write it. We write it like this: log2(8) = 3.

  6. Teach Yourself (1) Logarithms. This booklet explains what is meant by a logarithm. It states and illustrates the laws of llogarithms. It explains the standard bases 10 and e. Finally it shows how logarithms can be used to solve certain types of equations.

  7. Ready to use. Apply and combine logarithm laws in a given equation to find the value of x x.

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