Introduction to Logarithms

In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x. In the simplest case, the logarithm counts the number of occurrences of the same factor in repeated multiplication; e.g., since 1000 = 10 × 10 × 10 = 103, the "logarithm base 10" of 1000 is 3, or log10(1000) = 3.
#Logarithms #Laws #Examples
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Teacher i don’t undstand where that number comes from?

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Please can you help me solve this logarithm (4.294)

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Please sir, if the base are not the same but the power are the same which law will be the best

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For multiplication or Division, you can assign a single exponent. Example: a² x b² = (ab)²

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Explain more example

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Nice one sir but in your last example how can 1.5 be thesame as 15/10

[@tambuwalmathsclass]

1.5=1.5/1 And if you multiply top and bottom by 10, you have 15/10

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@@tambuwalmathsclass how can I take the reciprocal please??

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@@hussainijibrin8753 Reciprocal of x is 1/x

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@@hussainijibrin8753 Take it to the power of -1

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Sir I did not understand the third example

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I can now see a light thus those log rules still works in first order?

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Sir how did u get that 3

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Because 10 cube 3 = 1000 as (10)³=1000 as the power or exponent is the answer

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