1. Copyright 2014 Davitily

2. 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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