SOLUTION: Explain why there are no solutions to logbcos(theta)=.01 for any base b>1 (b is not an exponent but the thing that goes down instead of up, don't know the name for it)

Algebra ->  Trigonometry-basics -> SOLUTION: Explain why there are no solutions to logbcos(theta)=.01 for any base b>1 (b is not an exponent but the thing that goes down instead of up, don't know the name for it)      Log On


   

Question 570729: Explain why there are no solutions to logbcos(theta)=.01 for any base b>1
(b is not an exponent but the thing that goes down instead of up, don't know the name for it)
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
b is called a subscript.

The log equation is equivalent to



However, (because b^{.01} is greater than b^0 or 1). This implies that cos theta > 1, which cannot occur. Therefore there are no solutions.