04-27-2016, 09:38 PM
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#9
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Sir Krisk
Join Date: Dec 2007
Location: Vic, Australia
Posts: 930
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Re: Indices, Exponential and Logarithmic Equations
Quote:
Originally Posted by beary605
yeah, flipping negative indices in a fraction is good, they'll usually cancel some term out or combine with something, and make the expression smaller/easier to work with
numbers in front always imply multiplication, like 4x^2, 3 sin x, so for the fifth one you calculate
2*log4 16 = 2*2 = 4
bringing the number in works too but the numbers get messy for something like 10 log3 27
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Yeah most of the questions we're tasked with require us to provide our answer with no negative indices. So thanks for that advice.
And for your answer to the fifth question, you basically just worked it out as if the 2 wasn't there, and then just multiplied your answer by 2?
So:
- log4(16) = 2 * 2 = 4
Or another example:
- 3log7(49)
= log7(49) = 2 * 3 = 6
OR
- 3log7(49)
= log7(49^3)
= log7(117649) = 6
Quote:
Originally Posted by rushyrulz
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Yeah I realised how simple it is. I was kinda heading in the right direction, but I should probably brush up on simple rules like that one. Cheers for the link too
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