Problem 735

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…

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.…