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Rewrite the Equation in Terms of Base E y=2(7)xy = 2 ( 7 ) ^ { x }

Question 265

Multiple Choice

Rewrite the equation in terms of base e. Express the answer in terms of a natural logarithm, and then round to three
decimal places.
- y=2(7) xy = 2 ( 7 ) ^ { x }


A) y=2exln7,y=2e1.946x\mathrm { y } = 2 \mathrm { e } ^ { \mathrm { x } \ln 7 } , \mathrm { y } = 2 \mathrm { e } ^ { 1.946 \mathrm { x } }
B) y=7exln2,y=7e0.693xy = 7 e ^ { x } \ln 2 , y = 7 e ^ { 0.693 x }
C) y=2e7x,y=22.7181.946x\mathrm { y } = 2 \mathrm { e } ^ { 7 \mathrm { x } } , \mathrm { y } = 22.718 ^ { 1.946 \mathrm { x } }
D) y=(ln2) exln7,y=0.693e1.946x\mathrm { y } = ( \ln 2 ) \mathrm { e } ^ { \mathrm { x } \ln 7 } , \mathrm { y } = 0.693 \mathrm { e } ^ { 1.946 \mathrm { x } }

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