Question

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) = log<b>7</b> x and g(x) = log<b>4</b> x


log<b>7</b> x = log<b>4</b> x

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

You should know the basic shape of y = log<b>a</b> x

since log<b>a</b> 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