Question

Să se logaritmeze ....​

Answer 1

Explicație pas cu pas:

$log_{b}( {a}^{ log_{b}(ab) } ) = log_{b}(ab) \cdot log_{b}(a) = (log_{b}(a) + log_{b}(b))\cdot log_{b}(a) = (log_{b}(a) + 1)\cdot log_{b}(a)$

$lg( {a}^{ log_{b}(ab) } ) = log_{b}(ab) \cdot lg(a) = \frac{lg(ab)}{lg(b)}\cdot lg(a) = \\ = \bf \frac{lg(a) \cdot [lg(a) + lg(b)]}{lg(b)}$