Question

Aflati x din:
a) 7^x+1=49
b) 5^5•(x+1)=[(5^2)^4]
^=la putere

Answer 1

a) 7^x+1=49
7^x+1=7^2
x+1=2
x=1

 b) 5^5•(x+1)=[(5^2)^4]
5^5•(x+1)=5^8              in cazul in care puterea lui 5 este [5•(x+1)]
5•(x+1)=8
5x+5=8
5x=3
x=3/5

in cazul in care          termenul stang inseamna produs intre  5^5 si nr=(x+1)
5^5•(x+1)=5^8
5^5•(x+1)=5^5•5^3
x+1=5^3
x=125-1
x=124