wach
How does 3^x + 3^x + 3^x = 3^x+1 ?
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asnaseer
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it is making use of the rule:\[a\times a^n=a^{n+1}\]
asnaseer
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can you see how?
wach
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Not really. Could you put the equation into that rule? I think I'l be able to understand, then.
asnaseer
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ok, first of all how can you simplify the left hand side of your expression?
asnaseer
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e.g. a + a + a = ?
wach
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3(3^x), right?
asnaseer
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correct
asnaseer
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now apply the rule
waleed_imtiaz
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Lets see this question like this.... :)
let 3^x=y..... the above equation is.......
3^x + 3^x + 3^x = 3^x *3
y+y+y=y(3)
3y=3y...... It is an identity...... :DA
wach
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a(a^n) = a^n+1
3(3^x) = 3^x+1
Aa.
If I may ask, how does the rule work/make sense?
asnaseer
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e.g.:\[a\times a^3=a\times(a\times a\times a)=a\times a\times a\times a=a^4\]
asnaseer
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and 4 = 3 + 1
asnaseer
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the general rule here is:\[a^m\times a^n=a^{m+n}\]
wach
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Ohhhh.
That makes complete sense when worked out.
Thank you so much for helping me with this concept, asnaseer!
asnaseer
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yw :)