(log43 + log83) · (log32 + log92) - Log1 / 2 × 4 times √ 32 + 5 ^ log259 simplification

(log43 + log83) · (log32 + log92) - Log1 / 2 × 4 times √ 32 + 5 ^ log259 simplification


Divide it into three parts: (log32 + log92) * (log43 + log83) = (LG2 / Lg3 + LG2 / lg9) = (Lg3 / LG4 + Lg3 / LG8) = (LG2 / Lg3 + LG2 / 2lg3) * (Lg3 / 2lg2 + Lg3 / 3lg2 = 3 / 2 * LG2 / Lg3 * 5 / 6 * Lg3 / LG2 = 3 / 2 * 5 / 6 = 5 / 4 Log1 / 2 × 4 times √ 32 = Log1 / 2, the square of 32 = - 5 ^ log259 = 9, so the original formula = 5 / 4 + 5 + 9 = 15.25 is that right?