SOLUTION: How do you solve this logarithmic equation: log(4X+1)-log(2X-3)=2
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Question 143981: How do you solve this logarithmic equation: log(4X+1)-log(2X-3)=2
Found 2 solutions by jim_thompson5910, vleith:
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation
Combine the logs using the identity
Rewrite the equation using the property: ====>
Square 10 to get 100
Multiply both sides by
Distribute
Add 300 to both sides
Subtract 4x from both sides
Combine like terms on the left side
Combine like terms on the right side
Divide both sides by 196 to isolate x
Reduce
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Answer:
So our answer is (which is approximately in decimal form)
Answer by vleith(2983) (Show Source): You can put this solution on YOUR website!
Given
Plug that back in and check with a calculator
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