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1.6 Exponentials and Logarithms

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Question 45

The signal intensity, SSS (measured in nanowatts), of a specialized acoustic transducer is monitored during a calibration phase. The intensity is modelled by the equation

log⁡10S=0.64+0.035h \log_{10} S = 0.64 + 0.035h log10​S=0.64+0.035h

where h h\,h is the time in minutes after calibration began.

Use the equation of the model to answer parts (a) and (b).

a.

Find the initial signal intensity of the transducer, giving your answer to 2 decimal places.

[2]
b.

After T T\,T minutes, the signal intensity reaches 480 nanowatts. Find the value of TTT, giving your answer to 2 decimal places.

[3]

1.6 Exponentials and Logarithms Questions

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