Question 968341


{{{4^(x+1)-7=14}}}

{{{4^(x+1)=14+7}}}

{{{4^(x+1)=21}}}..........take log of both sides

{{{log(4^(x+1))=log(21)}}}

{{{(x+1)log(4)=log(3*7)}}}

{{{x+1=(log(3)+log(7))/log(4)}}}

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

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

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

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

{{{x=(0.47712125472+ 0.84509804-2*0.30102999566398)/(2*0.30102999566398)}}}

{{{x=(0.72015930339204)/(0.60205999132796)}}}

{{{x=1.1961587}}}..............approximate solution