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Digiron [165]
3 years ago
15

10^x • 100^2x = 1000^5. Step by Step

Mathematics
1 answer:
nordsb [41]3 years ago
4 0
Step one: set the base of each term to be the same (10)
(10ˣ)(10²)²ˣ = (10³)⁵
(10ˣ) (10⁴ˣ)= (10¹⁵)
10⁵ˣ = 10¹⁵
Because the indices are the same we can equate the two.
5x = 15
x = 3

Check 10⁵ˣ³ = 10¹⁵    10¹⁵=10¹⁵
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Answer:

181 penguins on the last day of June.

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We have been given that in the book 365 Penguins, the family received a new penguin each day. They received their first penguin on January 1st and this pattern continued throughout this non-leap year.  

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January has 31 days, February has 28 days (Not a leap year), March has 31 days, April has 30 days, May has 31 days and June has 30 days.

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The equation is:
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