Kismet Kismet
  • 18-11-2024
  • Mathematics
High School

Solve: log5x^3 - logx^2 = 2

x = 20

Solve log5x 3 logx 2 2 x 20

Answer :

leena leena
  • 14-09-2024

Answer:

To solve this, we will need to use log properties. We know that subtracting two log equations gives us:

[tex]log\frac{5x^{3} }{x^{2} } =2[/tex]

If log base 10 equals 2, we know that [tex]\frac{5x^{3} }{x^{2} }[/tex] equals 100. We can solve this by:

[tex]\frac{5x^{3} }{x^{2} }[/tex] = 100

5x³=100x²

x³= 20x²

x³-20x²=0

x²(x-20)=0

Thus, the answer is x=20.

Answer Link
tjsalley tjsalley
  • 16-02-2024
Yes the answer is 20
Answer Link

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