Optional Advanced System of Equations involving Logarithms
3. Logrithmic equation systems
Example 1
We apply the change of variable
This way we obtain the following linear equation system
we resolve it and we undo the cange of variable:
We apply the change of variable
This way we obtain the following linear equation system
we resolve it and we undo the cange of variable:
Example 2
First we apply the property logarithm of a product:
We apply the change of variable:
and we obtain the following system:
that has as solution:
Finally, we undo the change of variable:
We do not need to check the solutions.
First we apply the property logarithm of a product:
We apply the change of variable:
and we obtain the following system:
that has as solution:
Finally, we undo the change of variable:
We do not need to check the solutions.