Logarithmic Equations with Logs on Both Sides Page 1 of 4
Solving Equations with Logarithms
Let's start with an equation without any logarithms:
Do you know the answer? 2 times what number is the same as 2 times 6?
Option 1: You could simplify both sides first to get
2x = 12. You can then divide both sides by 2 to get the x all by itself.
Option 2: Can you look back and figure out the answer without doing much work?
2 times some mystery number is the same as 2 times 6. What must the mystery number be? 6. When you have the same operation on each side, they essentially cancel each other out.
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