Question 330256
{{{6^(3n) = 43^(5n-4)}}}
{{{3n=log(6,(43^(5n-4)))}}}
{{{3n=(5n-4)(log(6,(43)))}}}

{{{3n=5n(log(6,(43)))-4(log(6,(43)))}}}
{{{3n-5n(log(6,(43)))=-4(log(6,(43)))}}}
{{{n(3-5(log(6,(43))))=-4(log(6,(43)))}}}
{{{n=-4log(6,(43))/(3-5(log(6,(43))))}}}
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{{{log(6,(43))=log((43))/log((6))=2.0992}}}
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{{{n=-4(2.0992)/(3-5(2.0992))=-8.3996/-7.4958}}}
{{{highlight(n=1.120)}}}
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{{{2x+1>=log(5,(50))}}}
{{{2x>=-1+log(5,(50))}}}
{{{x>=(1/2)(-1+log(5,(50)))}}}

{{{x>=(1/2)(-1+log((50))/log((5))))}}}
{{{x>=(1/2)(-1+2.4307)}}}
{{{highlight(x>=0.7153)}}}