# Logarithms laws and indices

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Thread starter 10 months ago
#1
Can anyone reccomend good, clear websites to know about indices law for the product and quotient rule, please.

Maths question help, please .
Using the indices law, prove that log4+log2=log8

Many thanks
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10 months ago
#2
This website is pretty decent and gives examples but YouTube videos are always helpful
https://www.mathsisfun.com/algebra/e...ogarithms.html
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10 months ago
#3
(Original post by Teacup:))
Can anyone reccomend good, clear websites to know about indices law for the product and quotient rule, please.

Maths question help, please .
Using the indices law, prove that log4+log2=log8

Many thanks
You could try ExamSolutions - he makes really clear videos on A level maths content.

As for your question, you can use the rule loga + logb = logab
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10 months ago
#4
(Original post by goldfvnch)
As for your question, you can use the rule loga + logb = logab
True, but perhaps Teacup wants to prove the result using index laws. Suppose we use some base a>0 for our logarithms.
2 = a^p and 4 = a^q for some positive numbers p and q.
2 x 4 = a^p x a^q = a^(p+q)
Taking logarithms of both sides (base a remember):
log(2x4) = p+q
log(8) = p+q
log(8) = log(2) + log(4)
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