Sketch the graph of $y=\lg x$. In order to solve the equation ${{10}^{x}}=\frac{10\,000}{{{x}^{3}}}$, a suitable straight line has to be drawn on the same set of axes as the graph of $y=\lg x$. Find the equation of the straight line and the number of solutions.

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

IP 3

Sketch the graph of $y=\lg x$.
In order to solve the equation ${{10}^{x}}=\frac{10\,000}{{{x}^{3}}}$, a suitable straight line has to be drawn on the same set of axes as the graph of $y=\lg x$. Find the equation of the straight line and the number of solutions.

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