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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Answer:
In step 1 subtraction property is used and in step 2 division property is used.
Explanation:
We have the equation 2x + 6 = 22
Step 1
The subtraction property of equality tells us that subtracting the same number to each side of an equation gives us an equivalent equation
So subtracting 6 from both sides
2x + 6 - 6 = 22 - 6
2x = 16
Step 2
The division property of equality tells us that you can divide each side of an equation with the same nonzero number to produce an equivalent equation
So dividing each side by 2.