Question

Calcule log(base 5) 0,000000064

Answer 1

Resposta:

0,000000064 =64/10⁹ =2⁶/10⁹=2⁶*10⁻⁹

log₅  2⁶*10⁻⁹ = log  2⁶*10⁻⁹ / log 5

=[ log 2⁶ + log 10⁻⁹] /log 5

=[6*log 2 -9 *log 10] /log 5

=[6*log 2 - 9 ] /log 5

****log 2  = log 10/5  = log 10 - log 5 =1 -log 5

=[6 (1 -log 5) - 9 ] /log 5

=[ 6 -6* log 5 -9 ]/log 5

=-(3 -6*log 5)/ log 5