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

A. ln e5 + ln 6
B. 5 + ln 6
C. ln e5 - ln 6
D. 5 - ln 6


Answer: D

Mathematics

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Use the pH scale to answer the question.If the pH of a solution increases by 2, how much does the hydrogen ion concentration change? Does the change make the solution more acidic or more basic?

A. Decreases by a factor of 100; more basic B. Increases by a factor of 20; more acidic C. Increases by a factor of 100; more acidic D. Decreases by a factor of 20; more basic

Mathematics

Find the absolute maxima and minima of the function on the given domain.  on the disk bounded by the circle  

A. Absolute maximum: 72 at    and    absolute minimum: 63 at    and  
B. Absolute maximum: 72 at    and    absolute minimum: 0 at  
C. Absolute maximum: 135 at    absolute minimum: 0 at  
D. Absolute maximum: 63 at    and    absolute minimum: 0 at  

Mathematics

Use properties of rational exponents to simplify the expression. Assume that any variables represent positive numbers.

A. x73/84
B.
C.
D. x25/84

Mathematics

For the interval [-2,10] and n = 4, find the values of ?

A.
B.
C.
D.
E.

Mathematics