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OwlEyes

  • 3 years ago

Which of the following is the solution to the equation 25(z + 2) = 125 ? z = 5.5 z = 3.5 z = -2.5 z = -0.5

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  1. mahmit2012
    • 3 years ago
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    |dw:1337048774351:dw|

  2. OwlEyes
    • 3 years ago
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    3 isnt an option

  3. thejoshfish
    • 3 years ago
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    just solve the equation.. it's not that hard.

  4. OwlEyes
    • 3 years ago
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    is 3.5?

  5. mahmit2012
    • 3 years ago
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    |dw:1337049106838:dw|

  6. thejoshfish
    • 3 years ago
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    test it. 3.5+2=5.5 5.5(25)=137 so no

  7. sputnik
    • 3 years ago
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    I would start by multiplying the equation out. 25z + 50 = 125. Then I would solve for z. First isolate it: 25z = 75 And then divide by 25. z = 3.

  8. OwlEyes
    • 3 years ago
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    3 is not an option

  9. thejoshfish
    • 3 years ago
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    well your math book is wrong then.

  10. OwlEyes
    • 3 years ago
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    No i wrote it wrong!! lol Its: 25^(z+2)=125

  11. sputnik
    • 3 years ago
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    You need to take the log of both sides then solve for z..

  12. OwlEyes
    • 3 years ago
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    how do i do that?

  13. sputnik
    • 3 years ago
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    It looks like this: 2 * ln(5) * z + 4 * ln(5) = 3 * ln(5)

  14. OwlEyes
    • 3 years ago
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    I dont know what that means??

  15. sputnik
    • 3 years ago
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    And to finish it up as in actually compute it you need to use a calculator because the decimals are messy. 3.21 * z + 6.43 = 4.82 And solve for z.

  16. sputnik
    • 3 years ago
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    You will get z = -0.5. Is that one of the options?

  17. OwlEyes
    • 3 years ago
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    Yepp:)) Thanks sooo much!

  18. sputnik
    • 3 years ago
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    No prob. Thanks for the medal. And for the logs, on the right hand side, 125 = 5 ^ 3. so it equals 3 * ln(5). The exponent out front and the log of what the exponent worked on.

  19. OwlEyes
    • 3 years ago
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    Ohhh gotcha! Thanks again and you deserve it:)

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