Question 728524
{{{4^x-10*2^(x-1)=24}}}..write {{{2^(x-1)}}} as {{{2^x/2}}} and {{{4^x}}} as {{{2^(2x)}}}

{{{2^(2x)-10*2^x/2=24}}}


{{{2^(2x)-cross(10)5*2^x/cross(2)=24}}}........{{{2^(2x)=2^(x)2^(x)}}}


{{{2^x*2^(x)-5*2^x=24}}}

{{{2^x*(2^x-5)=24}}}....true if and only if {{{2^x=8}}}

than we have 

{{{2^x=2^3}}}...=>..if bases same, exponents are same too...so, {{{x=3}}}