Question

Me ajudem por favor 
 Em que base o logaritmo 729 é igual a 6?

Qual o logaritmo de 10 na base 100?

Answer 1

$log_xa=b-->x^b=a$


$log_x729=6 \\ x^6=729 \\ x^6=3^6 \\ x=3 \\ log_3729=6$


$log_{100}10=x \\ 100^x=10 \\ (10^2)^x=10^1 \\ 10^{2x}=10^1 \\ 2x=1 \\ x= \frac{1}{2} \\ log_{100}10= \frac{1}{2} \\ \\ \\ Renato.$

Answer 2

veja

$\log_x729=6$

$x^6=729$

$x= \sqrt[6]{729}$

$x= \sqrt[6]{3^6}$

$x=3$

R: Na base 3

b)
   $\log_{100}10=x$

$100^x=10$

$10^2^x=10$

$2x=1$

$x= \frac{1}{2}$