Question

$log_{6}(2) \times log_{6}(18) + log_{6}^{2} (3)$
помогите решить

Answer 1

log(6) 2 * log(6) 18 + log^2(6) 3 = log(6) 2 * log(6) 6*3 + log^2(6) 3 = log(6) 2 * log(6) 3 + log(6) 2 + log^2(6) 3 = log(6) 3*(log(6) 2 + log(6) 3) + log(6) 2 = log(6) 3 *log(6) 2*3 + log(6) 2 = log(6) 2 + log(6) 3 = log(6) 2*3 = log(6) 6 = 1

log(a) b+ log(a)c = log(a) bc