(a)

The functions are and .

The functions are continuous on the interval .

If , then .

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If , then .

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Intermediate value theorem:

If is continuous on the closed interval , , and is any number between and , then there is at least one number  in such that .

and .

By intermediate value theorem, there must be some in such that .

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The equation is .

Rewrite the equation as .

Consider function is .

The function is continuous on .

Intermediate value theorem:

If is continuous on the closed interval , , and is any number between and , then there is at least one number  in such that .

Find .

Substitute in .

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Find .

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By intermediate value theorem, there must be some in such that .

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Graph the function .

Observe the graph:

The graph of the function intersects -axis at 0.739.

The solution of is .

The solution of is .

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(a) .

(b) Graph:

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