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Verified answer
2^(2x+3) . 7^(-2x)=282^(2x+3) . 7^(-2x) = 2^2 x 7
2x+3=2
2x=2-3
2x=-1
x=-1/2
Verified answer
2^(2x + 3) . 7^(-2x) = 282^(2x + 3) . 7^(-2x) = 4 . 7
2^(2x + 3) . 7^(-2x) = 2^2 . 7^1
1) 2^(2x + 3) = 2^2
=> 2x + 3 = 2
=> 2x = -1
=> x = -1/2
2) 7^(-2x) = 7^1
=> -2x = 1
=> x = -1/2