Question

sendo logª 2 = 20 , logª 5 = 30 calcule logª 100

Answer 1

Oi, tudo bem?

$log100$ = $log (5^{2} .$ $2^{2} )$

$log100 = log (5^{2} ) +log (2^{2} )$

$log100 = (5)^{2} + log (2^{2} )$

$log100 = 2.$ $log (2) + 2 .$ $log (5)$

$log2 = 20$   $e$   $log5 = 30$

$log100 = 2.20 + 2.30$

$log100 = 40 + 60$

$log100 = 100$

Espero ter ajudado :-)