Question

logx = -2, 0,1/3 solve the given equation for x

Answer 1

Step-by-step explanation:

log(logx)+log(logx

3

−2)=0

⇒log[logx(logx

3

−2)]=0

⇒log[log

x

logx

3

−2logx]=0

⇒log[3log

2

x−2logx]=0

⇒3log

2

x−2logx=1

⇒3log

2

x−3logx+logx−1=0

⇒3logx(logx−1)+1(logx−1)=0

logx=1 or logx=−1/3

x=10 or x=10

−1/3