- #1
Jaco Viljoen
- 160
- 9
Homework Statement
Consider the equation:
3logx5+2logx2-log1/x2=3
a)State which values of x for which the equation is defined.
b)Solve the equation for x.
Homework Equations
The Attempt at a Solution
3logx5+2logx2-log1/x2=3
=logx53+logx22-log1/x2=3
=logx125+logx4-log1/x2=3
=logx500-log1/x2=3
=logx2=logx2/logx(1/x)change of base
=-logx2
=logx125+logx4+logx2=3
=logx500+logx2=3
=logx1000=3
=x3=1000
x=10
Please check if you don't mind?
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