anonymous
  • anonymous
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
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
|dw:1337048774351:dw|
anonymous
  • anonymous
3 isnt an option
anonymous
  • anonymous
just solve the equation.. it's not that hard.

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anonymous
  • anonymous
is 3.5?
anonymous
  • anonymous
|dw:1337049106838:dw|
anonymous
  • anonymous
test it. 3.5+2=5.5 5.5(25)=137 so no
anonymous
  • anonymous
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.
anonymous
  • anonymous
3 is not an option
anonymous
  • anonymous
well your math book is wrong then.
anonymous
  • anonymous
No i wrote it wrong!! lol Its: 25^(z+2)=125
anonymous
  • anonymous
You need to take the log of both sides then solve for z..
anonymous
  • anonymous
how do i do that?
anonymous
  • anonymous
It looks like this: 2 * ln(5) * z + 4 * ln(5) = 3 * ln(5)
anonymous
  • anonymous
I dont know what that means??
anonymous
  • anonymous
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.
anonymous
  • anonymous
You will get z = -0.5. Is that one of the options?
anonymous
  • anonymous
Yepp:)) Thanks sooo much!
anonymous
  • anonymous
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.
anonymous
  • anonymous
Ohhh gotcha! Thanks again and you deserve it:)

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