My class is having a hard time understanding how to do these because we don't understand the Inverse Property solution in the problem
and example problem we are having trouble with is:
Log base[2](x-6)=3+log base[2](x-1)
A solution to this problem and extra advice would be nice.
And then to check for extraneous solutions: plug your x value back into the original equation (which of course we all do every time anyway <grin>). If you'd wind up taking the log of a negative number, then that solution doesn't work and is an extraneous solution.
Hello, paigesisco!
Note that the domain of the solution is:
. . Also that:
We have: .
. . . . . . . .
. . . . . . . . . . . .
. . . . . . . . . . . . .
. . . . . . . . . . . . . .
But this is not in the domain.
It is an extraneous root.