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Ostrovityanka [42]
3 years ago
10

If 10^x equals 0.1 percent of 10^y, where x and y are integers, which of the following must be true?

Mathematics
1 answer:
andrew-mc [135]3 years ago
5 0
10^x=0.1 \% \times 10^y \\ \\
10^x=\frac{0.1}{100} \times 10^y \\ \\
10^x=\frac{1}{1000} \times 10^y \\ \\
10^x=\frac{10^y}{10^3} \\ \\
10^x=10^{y-3} \\ \\
\log_{10} 10^x=\log_{10} 10^{y-3} \\ \\
x=y-3 \\ \\
y=x+3

The answer is B.
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