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NATURAL LOGARITHMS. Unit Overview. In this unit you will evaluate natural exponential and natural logarithmic functions and model exponential growth and decay processes. You will also solve logarithmic and exponential equations by using algebra and graphs.
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
The solution of ax = b is x = log a b For 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 Napier (1550 – 1617). In those days, before electronic calculators ...
APPLICATIONS OF LOGARITHMIC FUNCTIONS. KSU. De ̄nition: 2 Logarithmic function: Let a be a positive number with a 6= 1. The logarithmic function with base a, denoted loga x, is de ̄ned by. y = loga x. if and only if. x = ay: Important Formulas: 2 Compound Interest: is calculated by the formula. 3 r ́nt. A(t) = P 1 +. n. where.
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.
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.
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