given that equation 2logx +log2= log5+10.solve for x

2 answers

The last I knew, Kampala was the capital of Uganda, but I'll take your word for it that you are taking it as a School Subject.

http://en.wikipedia.org/wiki/Kampala
2logx + log2 = log5 + 10
log x^2 + log2 = log5 + 10
log x^2 = log5 - log2 + 10
logx^2 = log (5/2) = 10
logx^2 = 10.39794..
x^2 = 10^10.39794..
x = 10^5.19897..
x = appr 158,114

I suspect a typo which would change the order of operation.
my answer works for the equation the way it was typed.
check:
LS = 2log 158114 + log2
= 10.39784... + .301029...
= 10.69897..
RS = log5 + 10
= .69897.. + 10
= 10.69897..