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1.5(5^2x)-5^2x-1+25^x=145 2. ﹛4^3x-y=4√256 (3/2)^x+y=8/27

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1.5(5^2x) - 5^(2x-1) + 25^x = 145 5(5^2x) - (5^2x)/5 + 5^2x = 145 5.8(5^2x) = 145 5^2x = 25 = 5^2 2x = 2 x = 1 2. 4^(3x-y) = 4√256 ... (1) (3/2)^(x+y) = 8/27 ... (2) (1) => 4^(3x-y) = 4*16 4^(3x-y) = 4^3 3x - y = 3 ... (3) (2) => (3/2)^(x+y) = (2/3)^3 (3/2)^(x+y) = (3/2)^(-3) x + y = -3 ... (4) (3) + (4) => 4x = 0 => x = 0 Sub into (4) => y = -3

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