Question

Please Help! functions!

Box 1 options;
5.49
6.51
54.9
65.1

Box 2 options;
10^-4
10^-8
10^-10
10^-12

Answer 1

1. 65.1
2. 10^-4

Explanation:

1. Fill the given numbers into the formula and do the arithmetic.

`\displaystyle\beta=10 \log{\left((I)/(I_0)\right)}=10\log{\left((3.2 * 10^(-6))/(10^(-12))\right)}\\\\=10\log{\left(3.2 * 10^(6)\right)}\approx 65.1\quad\text{dB}`

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2. Fill the given numbers into the formula and solve for I.

`\displaystyle\beta=10 \log{\left((I)/(I_0)\right)}\\\\80=10\log{\left((I)/(10^(-12))\right)}\\\\8=\log{(I)}+12\qquad\text{divide by 10, simplify}\\\\-4=\log{(I)}\qquad\text{subtract 12}\\\\10^(-4)=I\qquad\text{take the antilog}`