Provide an appropriate response.When solving a logarithmic equation, why must you always check that the solution(s) work in the original equation?

What will be an ideal response?


Some solutions may result in taking the logarithm of a negative number, which is impossible.

Mathematics

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Find all local extreme values of the given function and identify each as a local maximum, local minimum, or saddle point.f(x, y) = x2 + 100 - 20x cos y; -? < y < ?

A. (10, 0); local maximum B. (10, 0); local minimum C. (100, 0); local minimum D. (10, 0); saddle point

Mathematics

Find the value of df-1/dx at x = f(a).f(x) = x3 - 6x2 - 2, x ? 4, a = 5

A.
B. 15
C. - 
D. - 

Mathematics

Find the roots of the equations.0.95x + 0.99(16 - x) = 15.52

A. {-8} B. {8} C. {0.08} D. {-0.08}

Mathematics

Round the decimal to the indicated place value.6.17824thousandth

A. 6.178 B. 6.078 C. 6.278 D. 6.17824

Mathematics