SOLUTION: What is the degree - measure of the least positive angle x such that {{{ log 2 (cosx)=-1/2 }}} (base 2).

Algebra.Com
Question 1110426: What is the degree - measure of the least positive angle x such that (base 2).
Answer by ikleyn(52925)   (Show Source): You can put this solution on YOUR website!
.
 =    <==== is equivalent to  ====>


cos(x) =  =  =    <=== ===>


x = .


Answer.   The least positive angle x such that   =    is  x = ,  or  45 degrees.


RELATED QUESTIONS

What is the degree - measure of the least positive angle x such that log(base 2)cos(x) =... (answered by Alan3354,Edwin McCravy)
Find the positive value of x that satisfies the equation Logx-log( x + 6)^1/2 = 0 All... (answered by MathLover1,Alan3354)
If log(base 2) (1/4)=log(base 8) x, what is the value of x? (answered by Alan3354)
the measure of angle 1 is 85 degree. what is m angle 2 m angle 3 and m angle 4 (answered by ikleyn)
can a logarithm have 2 answers? I have this equation that says solve for x: Log base... (answered by mananth)
Please help! 1. One angle of a triangle measures 10 degrees more than the second. The... (answered by venugopalramana)
A straight angle is divided into three smaller angles with measures a, b, and c such... (answered by OmniMaestra)
What is the value 3+log(base)2 (x) = log(base 2)... (answered by lwsshak3)
Indicate the quadratn in which the terminal side of angle x lie in order that 1) cosx (answered by Alan3354)