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1 of 8 0-day streak

Determine and use a logarithmic model

Question 1 of 8

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The chemical reading y is modelled from a positive mixture index t. The input is measured in index units and the output in reading units

\[y=9-\log_e\left(t-2\right)\]

Use the model only for positive input values

(a)1 mark

Read the additive offset a from the stated model. Enter its exact value

(b)1 mark

Calculate the output given by the model at this input

\[t=e^{\frac{3}{2}}+2\]

Give the exact value in the output units

Format: exact