if e^{5 x}=27, then x=

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Accepted Answer

Step:1 ：The given equation is (e^{5x} = 27).Step:2 ：Take the natural logarithm (ln) of both sides of the equation to get (5x = ln(27)).Step:3 ：Divide both sides of the equation by 5 to solve for x, (x = frac{ln(27)}{5}).Step:4 ：Calculate the value of x to get (x = 0.6591673732008658).Step:5 ：Final Answer: (x = boxed{0.6591673732008658})

Answer

Step: 1 ：The given equation is (e^{5x} = 27).Step: 2 ：Take the natural logarithm (ln) of both sides of the equation to get (5x = ln(27)).Step: 3 ：Divide both sides of the equation by 5 to solve for x, (x = frac{ln(27)}{5}).Step: 4 ：Calculate the value of x to get (x = 0.6591673732008658).Step: 5 ：Final Answer: (x = boxed{0.6591673732008658})

if $e^{5 x} = 27$ , then $x =$

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if e5x=27, then x=

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Popular Problems

if $e^{5 x} = 27$ , then $x =$