Suppose you can factorize:
Then by expanding the right side, you have
which means in this case, you have to have
Then by expanding the right side, you have
which means in this case, you have to have
Compare the graphs of the logarithmic functions f(x)= log7 (x) and g(x)=log4(x) . For what values of x is f=g , f>g, and f
2 answers:
The
blue curve represents the f(x) function while the orange curve represents the
g(x) function
f=g, if x<0 and f>g, if x>0
f=g, if x<0 and f>g, if x>0
Answer:
The graph of f(x) and g(x) is defined for x>0 as logarithmic function is always defined for x>0. By looking at the attached graph of f(x)=log(7 x) and g(x)=log(4 x) we could clearly observe that
f(x) and g(x) tends to minus infinity as x tends to zero i.e. f(x)≈g(x) when x→0.
otherwise f(x)>g(x) for x>0.
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