ACTIVITY To set themselves apart , columnists for print and online publications establish a audience by examining the type of sources he or she uses . For your columnist , you viewpoint style The types of sources they use and the way they use them are part of that style. Using three columns by one writer, analyze the columnist's might consider a political commentator from a national or local publication , a sportswriter , a movie or music reviewer , a professional blogger, or even amateur

You need to figure out at which x-value does the graph has a tangent line slope of -1.remember, the derivative is the slope of the tangent line. so find the derivative function and set it to equal -1 to find the x-value that will have a tangent line slope of 0.differentiate with the chain rule.    set the derivative to equal -1 and solve for x.      take log base 10 of both sides. also recall that  .    so the x-coord of the point of tangency is .the y-coordinate of this point of tangency can be calculated using the original function:     using point-slope form, the equation of the tangent line is      the x-intercept of this tangent line is when the graph is at y=0.    this rounds off to  .choice c.

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