x^3-logx/3=900

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sciencesolve | Teacher | (Level 3) Educator Emeritus

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You should isolate the term `x^3`  to the left side such that:

`x^3 - log(x/3) = 900 => x^3 = 900 + log(x/3)`

This is a transcendental equation, hence, you should perfom graphical method to find the solutions.

You need to draw the graphs of the functions `y = x^3`  and `y = log(x/3)` `+ 900`   and you need to check if these graphs have common points such that:

Notice that the graphs have no common points, hence, there are no solutions to the given equation.

Sources:

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