Question

dado os valores log2=0,3010; log3=0,4771; log5=0,6990; log7=0,8451 e log10=1 determine o valor

Answer 1

É tudo em cima da primeira propriedade do Logaritmo:
$\boxed{Log~2=0,3010}$
$\boxed{Log~3=0,4771}$
$\boxed{Log~5=0,6990}$
$\boxed{Log~7=0,8451}$
$\boxed{Log~10=1}$

$\boxed{Log_{b}~a*c=Log_{b}~a+Log_{b}~c}$

$\boxed{Log~15=Log~3*5=Log~3+Log~5=0,4771+0,6990=1,1761}$

$\boxed{Log~49=Log~7*7=Log~7+Log~7=0,8451+0,8451=1,6902}$

$\boxed{Log~14=Log~7*2=Log~7+Log~2=0,8451+0,3010=1,1461}$

$\boxed{Log~200=Log~2*100=Log~2+2*Log~10=0,3010+2*1=2,301}$