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solve the quadratic using factoring by grouping instead of the quadratic formula:u = log(x-5), v = log(5)u^2 + uv + v - 1 = u^2 - 1 + v(u+1) = (u+1)(u-1) + v(u+1) = (u+1)(u+v-1) = 0, thusu = -1, 1-v= log(2)x = 5 + 10^ux = 5 + 1/10 = 51/10, 5+2 = 7
solve the quadratic using factoring by grouping instead of the quadratic formula:
u = log(x-5), v = log(5)
u^2 + uv + v - 1 = u^2 - 1 + v(u+1) = (u+1)(u-1) + v(u+1) = (u+1)(u+v-1) = 0, thus
u = -1, 1-v= log(2)
x = 5 + 10^u
x = 5 + 1/10 = 51/10, 5+2 = 7