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HELP!!! 20 POINTS!!! URGENT!!!

HELP!!! 20 POINTS!!! URGENT!!!-example-1

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f(x) = log_4(x+1) + log_4(4x-3) = 0\\log_4\left((x+1)(4x-3)\right) = 0\\log_4\left(4x^2 +x -3 \right) = 0\\4x^2 +x -3 = 4^0 = 1\\4x^2 +x -4 = 0\\x =  (-1 \pm √(65))/(8)

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