(i)[4]
Determine $3^x$ and then, by using logarithms, determine $x$ correct to $3$ significant figures.
(ii)[1]
Hence state the values of $x$ that satisfy the equation $3^{2|x|} = 5(3^{|x|}) + 14$.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
The equation $3^{2x} = 5(3^x) + 14$ is satisfied by $x$.
Worked solution & mark scheme
This 5-mark question has a full step-by-step worked solution and mark scheme. One marking point: “Apply the method for solving the quadratic equation in $3^x$” …
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