kIp2005
kIp2005 kIp2005
  • 15-04-2020
  • Mathematics
contestada

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

Find the value of x needed to make the equation true class=

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DeanR
DeanR DeanR
  • 15-04-2020

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.

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