Moderate -0.8 Part (a) is a direct application of logarithms to solve an exponential equation (one step: x = log 10/log 7). Part (b) requires recognizing a quadratic in logâ‚‚ y, but this is still a standard textbook exercise with straightforward algebraic manipulation. Both parts are routine procedures below average A-level difficulty.
8.
Solve each of the following equations, giving the final answers correct to three significant figures, where appropriate.
a) \(\quad 7 ^ { x } = 10\).
b) \(\quad \log _ { 2 } y = \frac { 9 } { \log _ { 2 } y }\).
8.
Solve each of the following equations, giving the final answers correct to three significant figures, where appropriate.\\
a) $\quad 7 ^ { x } = 10$.\\
b) $\quad \log _ { 2 } y = \frac { 9 } { \log _ { 2 } y }$.\\
\hfill \mbox{\textit{SPS SPS SM 2021 Q8 [7]}}