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Logarithmic Equations
with Logs on Both Sides


​Logarithmic Equations with Logs on Both Sides       Page 1 of 4
​Accompanying Resource: Logarithmic Equations Boom Cards

Solving Logarithmic Equations with logs on both sides free digital activity

Solving Equations with Logarithms 

Let's start with an equation without any logarithms:
How do you solve a logarithmic equation with logs on both sides?

​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 1: Simplify, then divide both sides by 2 to get x 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.
When the same operation is on both sides of the equation, they cancel out.
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