Question

Calcule log27 z, sabendo que log3 z = w

Answer 1

Explicação passo-a-passo:

Lembre-se que $\sf log_{b^{m}}~a=\dfrac{1}{m}\cdot log_{b}~a$

Logo:

$\sf log_{27}~z=log_{3^3}~z$

$\sf log_{27}~z=\dfrac{1}{3}\cdot log_{3}~z$

$\sf log_{27}~z=\dfrac{1}{3}\cdot w$

$\sf log_{27}~z=\dfrac{w}{3}$