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1.6.8 Exponentials and logarithms

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Question 16

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

log_{10} S = 0.64 + 0.035h

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

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

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

[2]

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

[3]

Markscheme

1.6.8 Exponentials and logarithms Questions

A Level
Maths
1.6.8 Exponentials and logarithms

42 exam-style questions on WJEC A Level Maths 1.6.8 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.

1.6.8 Exponentials and logarithms

Question bank

1.6.8 Exponentials and logarithms

Easy Medium

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41

Question 16

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

log_{10} S = 0.64 + 0.035h

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

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

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

[2]

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

[3]

Markscheme

1.6.8 Exponentials and logarithms Questions

A Level
Maths
1.6.8 Exponentials and logarithms

42 exam-style questions on WJEC A Level Maths 1.6.8 Exponentials and logarithms. Each one has a worked solution and a mark scheme showing where the marks go.