Question 923792


{{{2^(x+1)=5^x}}}

use natural log


{{{(x+1)*ln(2) = x*ln(5)}}}


the Distributive Property:

{{{x*ln(2) + ln(2) = x*ln(5)}}}


{{{x*ln(2) -x*ln(5)=-ln(2)}}} 


{{{x(ln(2) -ln(5))=- ln(2) }}}


{{{x = -(ln(2))/(ln(2)-ln(5))}}}


{{{x = -(ln(2))/(ln(2)-ln(5))}}}


{{{x=-0.693147/(0.693147-1.6094379)}}}


{{{x=-0.69314 /-0.9162907}}}


{{{x=0.75647}}}