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Find the value of x needed to make the equation true.
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Find the value of x needed to make the equation true.

Find the value of x needed to make the equation true.-example-1
User Philosodad
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Answer: 3 (first choice)

A power to a power gives a multiplication of powers, e.g.,

(7¹⁰)² = 7²⁰

So the left side is 7²⁰ / 7⁴ and we divide the top and bottom by 7 get we

(7¹⁰)² / 7⁴ = 7²⁰ / 7⁴ = 7¹⁹ / 7³

We compare that to the right side 7¹⁹ / 7ˣ and it's clear x=3.

User Usamazf
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