Question

solve for x to eight decimal placed if e^(2x-7)=252. Base E is a physical constant.

Answer 1

\[2x-7=\ln 252\]
\[x=\frac{\ln 252+7}{2}\]

Answer 2

e^(2x-7) = 252


ln(e^(2x-7)) = ln(252)


(2x-7)ln(e) = ln(252)


(2x-7)*1 = ln(252)


2x-7 = ln(252)


2x = ln(252)+7


x = ( ln(252)+7 )/2


x = 6.26471454