Question 962607


{{{4^(1-x) = 315}}}.......use log to solve

{{{log(4^(1-x)) = log(315)}}}

{{{(1-x)log(4) = log(9*35)}}}

{{{(1-x) = log(3^2*35)/log(4)}}}

{{{1-x = (log(3^2)+log(7*5))/log(4)}}}

{{{1-x = (2log(3)+log(7)+log(5))/log(2^2)}}}

{{{1-(2log(3)+log(7)+log(5))/2log(2)=x}}}

{{{x=(2log(2)-2log(3)-log(5)-log(7))/2log(2)}}}...exact solution

{{{x=(2*0.30102999566398-2*0.4771212547-0.69897-0.84509804)/(2*0.30102999566398)}}}

{{{x=(0.60205999132796-0.9542425094-0.69897-0.84509804)/(0.60205999132796)}}}

{{{x=(-1.89625055807204)/(0.60205999132796)}}}

{{{x=-3.149604}}}

{{{x=-3.149}}} or {{{x=-3.150}}}