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In this worksheet, we will practice solving exponential equations with base e by using laws of natural exponents.

Q1:

Solve 3𝑒−4=8, giving your answer correct to three decimal places.

Q2:

Find, to the nearest thousandth, the value of 𝑥 such that 𝑒=19.

Q3:

Solve 2=5𝑒 for 𝑥, giving your answer to three decimal places.

Q4:

Given that 𝑒−2=1, find the value of 𝑥. If necessary, give your answer to 3 decimal places.

Q5:

Solve 2𝑒+11=18, giving your answer correct to three decimal places.

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