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After reading this text and / or viewing the video tutorial on this topic you should be able to: explain what is meant by a logarithm. state and use the laws of logarithms. solve simple equations requiring the use of 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.
In Show steps you will find a video explaining the rules of logarithms by going through simplification of logs of numbers rather than algebraic expressions. This video covers the standard rules for logarithms.
We can use the logarithm law \\[k\\log_a(x)=\\log_a(x^k)\\text{,}\\] to also give a more specific rule \\[\\begin{align} \\log_a\\left(\\frac{1}{x}\\right)&=\\log_a(x^{-1})\\\\ &=-\\log_a(x)\\text{.} \\end{align}\\] This means we can write our expression as \\[\\log_\\var{b1}(x-\\var{b2})+\\log_\\var{b1}({x})=\\var{b4}\\text{.}\\] Then using ...
The logarithm is denoted "log b x" (pronounced as "the logarithm of x to base b", "the base-b logarithm of x", or most commonly "the log, base b, of x "). An equivalent and more succinct definition is that the function log b is the inverse function to the function x ↦ b x {\displaystyle x\mapsto b^{x}} .
Revise what logarithms are and how to use the 'log' buttons on a scientific calculator as part of Higher Maths.
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.
