Question

Solve log3(x 1) = log6(5 – x) by graphing. What equations should be graphed?.

Answer 1

On solving, we get $\rm x=1.25$

How to solve Graphically?

Given that  $\log _{3}( x+1)=\log_{6}(5-x)$

Let,

            $\rm y=\log _{3} (x+1) \;and\;\\y=\log_{6} (5-x)$

Graphically, both equations obtained by the graph shown in the given diagram

Here,graphs intersects each other at point (1.25,0.74).

For the equation$\log _{3}( x+1)=\log_{6}(5-x)$ ,The solution will be the Point of intersection between the graphs ie. $x=1.25$

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