Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logw

A. logw13 +logwx - logw2
B. logw13x -logw2
C. logw13 +logwx + logw2
D. logw11x


Answer: A

Mathematics

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Use the rules of exponents to simplify the expression. Write the answer with positive exponents. Assume that all variables represent positive real numbers.

A.
B. x34/5
C.
D. x22/5

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Expand.(4x + 2)5

A. 1024x5 + 320x4 + 1280x3 + 1280x2 + 320x + 32 B. (16x2 + 16x + 4)5 C. 1024x5 + 512x4 + 256x3 + 128x2 + 64x + 32 D. 1024x5 + 2560x4 + 2560x3 + 1280x2 + 320x + 32

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Provide an appropriate response.If P(A) = P(A|B), why must P(B) = P(B|A)?

What will be an ideal response?

Mathematics

Solve the problem.Ted owes $2000 to Mary. The loan is payable in  at  Mary needs cash, so  before the loan is payable she goes to her bank which will pay her the maturity value of the note less a  discount fee. Find the amount Mary will receive.

A. $2099.17 B. $80.67 C. $2119.33 D. $2038.67

Mathematics