SOLUTION: Evaluate the logarithmic equation for three values of x that are greater than -3, three values of x that are between -4 and -3, and at x = -3. Show your work. Use the resulting ord
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Question 250605: Evaluate the logarithmic equation for three values of x that are greater than -3, three values of x that are between -4 and -3, and at x = -3. Show your work. Use the resulting ordered pairs to plot the graph; submit the . State the equation of the line asymptotic to the graph (if any). Please help solve and I will graph it.
y = -log4 (x + 4)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Most calculators do not have a 
function. Log tables for are pretty scarce as well. You can calculate logarithms to any base you like using Excel. The formula is =log(number,base), where "number" is the argument of the logarithm and "base" is any base you like.
Barring that you will need to do a base conversion to find values of base 4 logs. Note that:
 = \frac{\log_c(x)}{\log_c(b)} = \frac{\ln(x)}{\ln(b)})
Allowing you to convert from base 4 to either base 10 or base e] for which you have either a calculator function or a log table.
For instance: Let's say you select -1 as one of your "greater than -3" values. Then:
\ =\ -\log_4((-1)+4)\ =\ -\log_4(3)\ =\ -\frac{ln(3)}{ln(4)}\ \approx -0.7925)
John
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