Question

log₃16/log₃2 – log₂5*log₅10*log₁₀64

Answer 1

Respuesta:

-2

Explicación paso a paso:

log3

$\frac{ log_{3}(16) }{ log_{3}(2) } - log_{2}(5) log_{5}(10) \times \frac{ log_{5}(64) }{ log_{5}(10) }$

$\frac{ log_{3}( {2}^{4} ) }{ log_{3}(2) } - log_{2}(5) log_{5}(64)$

$\frac{4 log_{3}(2) }{ log_{3}(2) } - log_{2}(5) log_{5}( {2}^{6} )$

$4 - log_{2}(5) \times 6 log_{5}(2)$

$4 - 1 \times 6$

$4 - 6$

$- 2$