<ol class="abc-list"><li><div class="list-item-paragraph">Solve the equation $2(4^x)-8=11(2^x)-2^{2x+3}$, giving your answer correct to $3$ significant figures.<span class="inline-marks">[5]</span></div></li><li><div class="list-item-paragraph">Show that the solution from <strong>part (a)</strong> may be written in the form $m-\log_np$ where $m$, $n$, and $p$ are integers to be determined.<span class="inline-marks">[2]</span></div></li></ol>

Solve the equation $2(4^x)-8=11(2^x)-2^{2x+3}$, giving your answer correct to $3$ significant figures.

Show that the solution from **part (a)** may be written in the form $m-\log_np$ where $m$, $n$, and $p$ are integers to be determined.

Exponential and Logarithmic Functions - Equality of Indices

Exponential and Logarithmic Functions - Equality of Indices