Question

log6(x+5)=12
I think it's not possible because x+5 would have to be negative but not sure

Answer 1

\[\log_{6}(x+5)=\frac{ 1 }{ 2 } \]

Answer 2

By definitiion of log:
6^(1/2) = x + 5
x = 6^(1/2) - 5 = sqrt(6) - 5

Answer 3

but sqrt(6)-5 is a negative number. how to find logbase6 of a negative number?

Answer 4

@mathstudent55

Answer 5

The condition is x + 5 > 0, not x >0

Answer 6

I see. I was seeing things incorrectly. thanks