Write the exponential equation as an equation involving a common logarithm or a natural logarithm.12x = 144

A. log12 144 = x
B. log x = 12
C. log14412 = x
D. logx144 = 12


Answer: A

Mathematics

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Solve the problem.The path of a point on the circumference of a circle, such as a point on the rim of a bicycle wheel as it rolls along, traces out a curve called a cycloid. To find the distance through which the point moves, it is necessary to simplify the expression (1 - cos ?)2 + sin2 ?. Perform this simplification.

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Factor. If a polynomial is prime, state this.3x3 + 6x2y - 24xy2

A. 3x(x + 2y)(x - 4y) B. (x - 2y)(3x2 + 12xy) C. 3x(x - 2y)(x + 4y) D. (3x2 + 6xy)(x - 4y)

Mathematics

Perform the indicated operations and simplify the result. Leave the answer in factored form.

A.
B.
C.
D.

Mathematics