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anonymous

  • one year ago

Show all work and explain each step. Solve 27^x=9^2x-7

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  1. freckles
    • one year ago
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    \[27=3^3 \\ 9=3^2\] write both sides with the base being 3.

  2. anonymous
    • one year ago
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    |dw:1439572206890:dw|

  3. anonymous
    • one year ago
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    why is the base three?

  4. freckles
    • one year ago
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    because both 27 and 9 can be written as 3 to some power.. If the bases match on both sides, then all you have to do is set the exponents equal and solve.

  5. anonymous
    • one year ago
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    oh okay thank you guys!!

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