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Verifying Properties of Logarithms In Exercises 37 and $38,$ (a) verify that $f=g$ by using a graphing utility to graph $f$ and $g$ in the same viewing window and (b) verify that $f=g$ algebraically.$$f(x)=\ln \sqrt{x\left(x^{2}+1\right)}, \quad g(x)=\frac{1}{2}\left[\ln x+\ln \left(x^{2}+1\right)\right]$$
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If the two functions are identical, their graphs will overlap completely in the same viewing window. Show more…
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Verifying Properties of Logarithms In Exercises 37 and $38,$ (a) verify that $f=g$ by using a graphing utility to graph $f$ and $g$ in the same viewing window and (b) verify that $f=g$ algebraically. $$ f(x)=\ln \frac{x^{2}}{4}, \quad x>0, \quad g(x)=2 \ln x-\ln 4$$
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Verifying Properties of Logarithms In Exercises 35 and $36,(a)$ verify that $f=g$ by using a graphing utility to graph $f$ and $g$ in the same viewing window and (b) verify that $f=g$ algebraically. $$ f(x)=\ln \sqrt{x\left(x^{2}+1\right)}, \quad g(x)=\frac{1}{2}\left[\ln x+\ln \left(x^{2}+1\right)\right] $$
Verifying Properties of Logarithms In Exercises 35 and $36,(a)$ verify that $f=g$ by using a graphing utility to graph $f$ and $g$ in the same viewing window and (b) verify that $f=g$ algebraically. $$ f(x)=\ln \frac{x^{2}}{4}, \quad x>0, \quad g(x)=2 \ln x-\ln 4 $$
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