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Logarithm is basically a power on any number that we use to get the other number defined in the Log. Examples: Question: What is the value of log2 32? Answer: 5. Explanation: 25 = 32. We need to get 32 by multiplying 2 with 2 and see how many times it goes. Sp 2 x 2 x 2 x 2 x 2 = 32. This will get us 25. This is the reason the value of log2 32 = 5.
All of our examples have used whole number logarithms (like 2 or 3), but logarithms can have decimal values like 2.5, or 6.081, etc. Example: what is log 10 (26) ... ? Get your calculator, type in 26 and press log
See the Supplementary sheet 2 ‘Logarithmic scales and log-log graphs’ on CD-ROM if you are interested in discovering logarithms for yourself. The symbol ⇔ means that if the left-hand side is true then so. is. the right-hand side, and if the right-hand side is true then so is the left-hand side.
18 Οκτ 2024 · A logarithm tells what exponent (or power) is needed to make a certain number, so logarithms are the inverse (opposite) of exponentiation. Just as an exponential function has three parts, a logarithm has three parts as well: a base, an argument and an answer (also called power).
a > 0, a 6= 1 and b > 0 we have: loga b = c , ac = b. What does it mean? First of all the assumptions (restrictions) are important. The number a, called the base of the logarithm, has to be greater than 0 and cannot be equal to 1. The number b (which we take the logarithm of) has to be greater than 0.
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.
LOGARITHMS PRACTICE SIMPLIFYING EXPRESSIONS. single logarithm. log 2 7 + log 2 2. log 2 20 − log 2 4. 3log 5 2 + log 5 8. 2log 6 8 − 5log 6 2. log 10 8 + log 10 5 − log 10 0.5. log 2 14 , log 2 5 , log 5 64 , log 6 2 , log 10 80. single logarithm.
