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If 2 1n x + 1n 5 = 1n 80, then what is the value of x?

If 2 1n x + 1n 5 = 1n 80, then what is the value of x?-example-1
User Mattcole
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Answer: A

Given:


2\ln x+\ln 5=\ln 80

*subtract ln 5 from both sides:


2\ln x=\ln 80-\ln 5

*Divide both sides by 2


\ln x=(\ln 80-\ln 5)/(2)
\ln x=(\ln ((80)/(5)))/(2)
\ln x=(\ln (16))/(2)=(\ln (2^4))/(2)
\ln x=(4\ln (2))/(2)
\ln x=2\ln (2)
\ln x=\ln (2^2)
\ln x=\ln (4)
x=4

User Walid Bousseta
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