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1.025 Exponential equations

Interactive practice questions

Solve $3^x=27$3x=27.

Easy
< 1min

Solve the equation $10^x=0.01$10x=0.01.

Easy
< 1min

Solve for the value of $y$y in the equation:

$9^y=27$9y=27

Easy
< 1min

Solve $\left(\sqrt{2}\right)^k=0.5$(2)k=0.5.

Medium
1min
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Outcomes

3.2.1.2

recognise that 𝑒 is the unique number 𝑎 for which the limit (in 3.2.1.1) is 1

3.2.1.5

identify contexts suitable for mathematical modelling by exponential functions and their derivatives and use the model to solve practical problems; verify and evaluate the usefulness of the model using qualitative statements and quantitative analysis

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