Question

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Answer 1

Step-by-step explanation:

2^2x+2=4^2x-1.

=. 2^2x.2²= 4^2x.4^-1

=. 2^2x*4= 4^2x /4

. 16= 4^2x/2^2x

16= (4/2)^2x

16= 2^2x

2⁴=2^2x

from above we can see easily that,

4=2x

x=2

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Answer 2

$\huge\mathbb\red{ANSWER}$

by simplification

${2}^{2x + 2} = {4}^{2x - 1} \\ \\ {2}^{2x + 2} = {2}^{2(2x - 1)} \\ \\ {2}^{2x + 2} = {2}^{4x - 2} \\ \\ 2x + 2 = 4x - 2 \\ \\ 2 + 2 = 4x - 2x \\ \\ 4 = 2x \\ \\ x = 2$

$\huge</strong><strong>\</strong><strong>c</strong><strong>o</strong><strong>l</strong><strong>o</strong><strong>r</strong><strong>{</strong><strong>green</strong><strong>}</strong><strong>{</strong><strong>expla</strong><strong>nation</strong><strong>}$

• as we know 4 = 2²

• so both sides 2 so 2 will cancel out

• now power are equal to one and other

hope it helps you

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