Copyright 2014 Davitily.

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Copyright 2014 Davitily

Solve a Logarithmic Equation with Common Bases Using the Quotient Property of Logs Step 1: Rearrange the equation using the Quotient Property of Logs. Step 2: Solve the problem ignoring the logs. log 𝑏 𝑥 − log 𝑏 𝑦 = log 𝑏 𝑥 𝑦 log 3 𝑥+23 − log 3 𝑥+7 = log 3 𝑥+23 𝑥+7 log 3 𝑥+23 𝑥+7 = log 3 2 Step 1: Rearrange the equation using the Product Property of Logs. 𝑥+23 𝑥+7 =2 Step 2: Solve the problem ignoring the logs. THIS METHOD ONLY WORKS WHEN THE BASES ARE THE SAME! 𝑥+23 =2 𝑥+7 𝑥+23=2x+14 9=𝑥

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