Question

 LOGARITMOS 
a) log2 1024=x
b) log3 243=x
c)log5 625=x
d)log1/8 2=x
e) log2 \/32=x
f) log729 3=x

Answer 1

 LOGARITMOS 
a) log2 1024=x ==> 2^x = 1024 ==> 2^x = 2^10 ==> x = 10

b) log3 243=x  ==>3^x = 243 ==> 3^x = 3^5 ==> x = 5

c)log5 625=x ==>5^x = 625 ==> 5^x = 5^4 ==> x = 4

d)log1/8 2=x ==>2^x = 1/8 ==> 2^x = 2^-3 ==> x = - 3

e) log2 \/32=x 2^x = 32^1/2 ==> 2^x = (2^5)^1/2 ==> 2^x = (2^5/2 ==>x = 5/2

f) log729 3=x  ==>3^x = 729 ==> 3^x = 3^6 ==> x = 6

Answer 2

a)$2^x=1024$  ⇒ x=10
b)$3^x=243$    ⇒ x=5
c)$5^x=625$    ⇒ x=4
d)$(\frac{1}{8} )^x=2$  ⇒x=$- \frac{1}{3}$
e)$2^x= \sqrt{32}$   ⇒x=$\frac{5}{2}$
f)$729^x=3$  ⇒ x=$\frac{1}{6}$