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`"If" log_((3x-1))(x-2)= log_((9x^(2)-6x+1))(2x^(2)-10x-2)`, then x equals-A. `9-sqrt(15)`B. `3+sqrt(15)`C. `2+sqrt(5)`D. `6-sqrt(5)` |
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Answer» Correct Answer - B ` log_((3x-1))(x-2)= log_((3x-1))(2x^(2)-10x-2)` ` log_((3x-1))(x-2)^(2)= log_((3x-1))(2x^(2)-10x-2)` `(x-2)^(2)=2x^(2)-10x-2` `x^(2)-4x+4=2x^(2)-10x-2` `x^(2)-6x-6=0` `x=3+-sqrt(15)` `x=3-sqrt(15)" "x=3+sqrt(15)` `at 3-sqrt(15)` (x-2) is negative |
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