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Log3+logx-log(x+1)=log2

User Ocespedes
by
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1 Answer

5 votes

Answer:

  • x = 2

Explanation:

These are the properties of logarithms that you have to use to solve the equation:


logA+logB=log (AB)\\ \\ logA-logB=log((A)/(B) )


logA=logB
A=B

With that you can follow these steps and find the value of x:


log3+logx-log(x+1)=log2\\ \\\\ log(3x)/(x+1) =log2\\ \\ \\ (3x)/(x+1) =2\\ \\ \\ 3x=2(x+1)\\ \\ \\ 3x=2x+2\\ \\ \\ x=2

User Chris Webb
by
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