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wach

  • 3 years ago

How does 3^x + 3^x + 3^x = 3^x+1 ?

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  1. asnaseer
    • 3 years ago
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    it is making use of the rule:\[a\times a^n=a^{n+1}\]

  2. asnaseer
    • 3 years ago
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    can you see how?

  3. wach
    • 3 years ago
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    Not really. Could you put the equation into that rule? I think I'l be able to understand, then.

  4. asnaseer
    • 3 years ago
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    ok, first of all how can you simplify the left hand side of your expression?

  5. asnaseer
    • 3 years ago
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    e.g. a + a + a = ?

  6. wach
    • 3 years ago
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    3(3^x), right?

  7. asnaseer
    • 3 years ago
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    correct

  8. asnaseer
    • 3 years ago
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    now apply the rule

  9. waleed_imtiaz
    • 3 years ago
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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

  10. wach
    • 3 years ago
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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?

  11. asnaseer
    • 3 years ago
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    e.g.:\[a\times a^3=a\times(a\times a\times a)=a\times a\times a\times a=a^4\]

  12. asnaseer
    • 3 years ago
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    and 4 = 3 + 1

  13. asnaseer
    • 3 years ago
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    the general rule here is:\[a^m\times a^n=a^{m+n}\]

  14. wach
    • 3 years ago
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    Ohhhh. That makes complete sense when worked out. Thank you so much for helping me with this concept, asnaseer!

  15. asnaseer
    • 3 years ago
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    yw :)

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