Thread: solving logarithmic equations

I need help solving for x. i am pretty new at this, and not too sure what the first couple steps would be.

log6 X + log6 (X-5)=2

Originally Posted by extraordinarymachine

I need help solving for x. i am pretty new at this, and not too sure what the first couple steps would be.

log_6 X + log6 (X-5)=2

remember your properties

Identityloga(xy)=log_(a)x + log_(a)y


Example(a) log_(2)16 = log_(2)8 + log_(2)2

so

by the inverse property



peace out.

Convert the R.H.S. to logarithmic form in base 6.
Use addition formula.
Drop logs.
Have fun solving, because it's all about having fun.

In action.

log6 X + log6 (X-5)=2
log6 X + log6 (X-5)=log6 36
log6 (X(X-5))=log6 36


Have fun solving.

Originally Posted by I-Think

Convert the R.H.S. to logarithmic form in base 6.
Use addition formula.
Drop logs.
Have fun solving, because it's all about having fun.

In action.

log6 X + log6 (X-5)=2
log6 X + log6 (X-5)=log6 36
log6 (X(X-5))=log6 36


Have fun solving.

@OP: Note that only solutions such that x > 5 are valid.

Thanks for all your help everyone. i think i understand now. at least to do these types of questions ha ha.