Write the arithmetic sequence that has three arithmetic means between -16 and 16. Solution:- an and a1 are given. Find the common difference by using the explicit formula for arithmetic…
Month: May 2015
Problem 734
Show the following series diverges? 3 + 5 + 7 +9+…… Solution:- Look at the value of the common ratio r . If <1 , then the series has a limit…
Problem 733
Evaluate 16log1629 Solution:- Use the following property of logarithms to evaluate the given if a > 0 and a ≠ 1. alogax = x (x >0) Determine the…
Problem 732
Use the properties of logarithms to evaluate the expression. log 1015 Solution:- To simplify this expression, use the logarithmic property log bbx=x. Check to see if the given…
Problem 731
Write log aa = 15x in exponential form and find x to evaluate log aa for any a > 0, a ≠ 1. Solution:- Recall y = logb…
Problem 730
Write the inverse of y = 14x in logarithmic form. Solution:- To find the inverse of y = 14x, first rewrite the equation by interchanging x and y.…
Problem 729
Evaluate 10y = 0.000001 Solution:- Note that by convention, log 10x is simply denoted log x. To evaluate log 0.000001, that is , log 100.000001, write y…
Problem 728
Evaluate ln e6 Solution:- Use the basic properties of logarithms to find ln e6. Recall that by the definition of the natural logarithm, ln x = log ex.…
Problem 727
Evaluate ln 1 Solution:- To evaluate ln 1, use the basic properties of logarithms . First recall that by the definition of the natural logarithm , ln x…
Problem 726
Evaluate log 6 . Solution:- Write y = log 6 in its equivalent exponential form. 6y = Express as the power of 6. 6y = =6-2 Therefore, log 6 …
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