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Fittoniya [83]
2 years ago
7

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

Mathematics
1 answer:
OlgaM077 [116]2 years ago
8 0

Answer:

  • x = 2

Step-by-step explanation:

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

logA+logB=log (AB)\\ \\ logA-logB=log(\frac{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\frac{3x}{x+1} =log2\\ \\ \\ \frac{3x}{x+1} =2\\ \\ \\ 3x=2(x+1)\\ \\ \\ 3x=2x+2\\ \\ \\ x=2

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