Provide an appropriate response.When asked to describe logarithms in one simple sentence, the teacher said, "Logarithms are exponents". What is meant by this sentence?

What will be an ideal response?


Answers may vary. One possibility: loga is the exponent to which the base a must be raised to obtain x.

Mathematics

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Prove the identity.cos 2x = 2 cos4 x + 2 sin2x cos2x - 1

What will be an ideal response?

Mathematics

Simplify the exponential expression. Write any negative exponents as positive exponents. Assume all variables represent positive real numbers.1251/3

A. 15 B. 5 C. 625 D. 1,875

Mathematics

Find the LCD for the rational expression.

A. (x - 2)(x - 6) B. (x - 3)(x - 2)(x - 6) C. (x - 3)(x - 2) D. (x + 3)(x + 2)(x - 6)

Mathematics

Evaluate the determinant. 

A. -2 B. -50 C. -38 D. -26 E. -41

Mathematics