(a)[3]
Find the value of $a$ correct to $3$ significant figures.
(b)[2]
Hence find the value of $x$ when $y = 36$. Give your answer correct to $3$ significant figures.
Mathematics 9709 · AS & A Level · Logarithmic and exponential functions
Logarithmic and exponential functions — practice question
The variables $x$ and $y$ are related by $y = 3^{2a} a^x$, where $a$ is constant. A plot of $\ln y$ against $x$ produces a straight line with gradient $0.239$.