Question

Resolva as equações exponenciais
a) 2^x= 64
b)7^x= 343
c)8^x=32
d)(2/3)^x= (8/27)
e)5^x= √5
f)5^2x+1=1/625

Answer 1

Resolva as equações exponenciaisa) 2^x= 64 ==> 2^x = 2^6 ==> x = 6

b)7^x= 343 ==> 7^x = 7^3 ==>Ç x = 3

c)8^x=32==>(2^3)^x = 2^5==> 2^3x=2^5==>3x=5 ==> x = 5/3

d)(2/3)^x= (8/27) ==>(2/3)^x= (2/3)^3==>x = 3

e)5^x= √5 ==> 5^x = 5^1/2 ==> x = 1/2

f)5^2x+1=1/625==> 
5^2x+1=5^-4 ==> 2x+1= -4==>2x=-4-1
2x = - 5 ==> x = - 5/2