2 в степени (2x+2) - 2 в степени (2x-2) = 30. Created by viktoriaigosch. matematika-ru

2 в степени (2x+2) - 2 в степени (2x-2) = 30...

July 2022 1 7 Report

2 в степени (2x+2) - 2 в степени (2x-2) = 30

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wik8947201 $\\2^{2x+2}-2^{2x-2}=30
\\
\\4*2^{2x}-\frac14*2^{2x}=30
\\
\\3\frac34*2^{2x}=30 /:\frac{15}{4}
\\
\\2^{2x}=8
\\
\\2^{2x}=2^3
\\
\\2x=3
\\
\\x=1\frac12$

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