<ol class="abc-list"><li><div class="list-item-paragraph">Sketch the graph of $y=\ln \left( 2+x \right)$. Find the equation of the straight line which must be added on the graph of 	$y=\ln \left( 2+x \right)$ to solve the equation ${{\left( 2+x \right)}^{2}}{{\mathrm{e}}^{-x}}=2$.</div></li><li><div class="list-item-paragraph">Sketch the graph of $y=\ln \sqrt{\frac{1}{x-1}}$ for&nbsp;$x&gt;1$. Insert in your sketch the additional graph required to illustrate how a graphical solution to the equation $x={{\mathrm{e}}^{6\left( 2-x \right)}}+1$ may be obtained.</div></li></ol>

Sketch the graph of $y=\ln \left( 2+x \right)$. Find the equation of the straight line which must be added on the graph of 	$y=\ln \left( 2+x \right)$ to solve the equation ${{\left( 2+x \right)}^{2}}{{\mathrm{e}}^{-x}}=2$.

Sketch the graph of $y=\ln \sqrt{\frac{1}{x-1}}$ for $x>1$. Insert in your sketch the additional graph required to illustrate how a graphical solution to the equation $x={{\mathrm{e}}^{6\left( 2-x \right)}}+1$ may be obtained.

Exponential and Logarithmic Functions - Sketching Logarithmic Functions and Solving Equations Graphically

Exponential and Logarithmic Functions - Sketching Logarithmic Functions and Solving Equations Graphically

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