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lyudmila [28]
3 years ago
10

Solve: log5x^3 - logx^2 = 2 x = 20

Mathematics
2 answers:
Naddika [18.5K]3 years ago
8 0
Yes the answer is 20
Lelu [443]3 years ago
6 0

Answer:

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

log\frac{5x^{3} }{x^{2} } =2

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

\frac{5x^{3} }{x^{2} } = 100

5x³=100x²

x³= 20x²

x³-20x²=0

x²(x-20)=0

Thus, the answer is x=20.

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