10^x • 100^2x = 1000^5. Step by Step

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asked Nov 23, 2019 115k views

1 Answer

BrechtDeMan · Answer 1 · 2019-11-29T03:25:31+0000

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

10^x • 100^2x = 1000^5. Step by Step

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