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1.6.8 Exponentials and logarithms

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Question 40

A telecommunications engineer is modeling the signal strength, SSS microvolts, of a transmitter at a distance xxx km. A plot of log⁡10S\log_{10} Slog10​S against xxx produces a straight line lll.

The line lll passes through the points (0,3.42)(0, 3.42)(0,3.42) and (12,1.02)(12, 1.02)(12,1.02).

a.

Write down an equation for lll.

[2]
b.

Hence, or otherwise, express SSS in the form kbxkb^xkbx, giving the values of the constants kkk and bbb to 3 significant figures.

[3]

1.6.8 Exponentials and logarithms Questions

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