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in this video we will graph the given log function by hand as well as give the domain range an equation of the vertical asymptote we are given y equals negative log base three of x notice how except for the negative sign here this log function does fit the form of y equals log base b of x where we should recognize the domain is the open interval from zero to infinity the range is the open interval from negative infinity to positive infinity and the vertical asymptote is x equals zero so this negative sign is not going to change the domain range or vertical asymptote so let's go ahead and record this information and now to graph this by hand we will isolate the log and then write the equivalent exponential equation to complete the table to isolate the logarithm we need to multiply or divide both sides by negative 1 which gives us negative y equals log base 3 of x and now we'll use this definition here to write the equivalent exponential equation which is 3 raised to the

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