Compare the graphs of the logarithmic functions f(x) =log7 x and g(x)=log4 x. For what values of x is f=g and f<g? Explain how you know.

Answer 1

I assume you meant
f(x) = log7 x and g(x) = log4 x

log7 x = log4 x

I know that all log graphs of the form
y = loga x where a > 0 , a not = 1
pass through the point (1,0)

You should know the basic shape of y = loga x

since loga x = logx/loga
and since log7 > log4 , you know which is the larger value for any logx

Answer 2

the bold was to be a subscript