What is the expression for f(x)f(x)f, (, x, )when we rewrite \dfrac{5^{-4x+7} }{ 125^{x}} 125 x 5 −4x+7 start fraction, 5, start superscript, minus, 4, x, plus, 7, end superscript, divided by, 125, start superscript, x, end superscript, end fraction as 5^{f(x)}5 f(x) 5, start superscript, f, (, x, ), end superscript ?

y = - 6

step-by-step explanation:

given the point (- 2, y) lies on the graph then it is a solution of it's equation.

substitute x = - 2 into the equation for value of y

y = 3(- 2) = 3 × - 2 = - 6

the point on the graph is (- 2, 6)

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step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: