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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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work:

the three numbers are symbolized as x, y, and z

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number 2 (y) is 3 times the third number (z) so 

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