3^16+x*4^4+x*5^3x=540^8-x

Question

3^16+x*4^4+x*5^3x=540^8-x

Answer 1

540=4*3³*5
3^(16+x)*4^(4+x)*5^3x=3^(24-3x)*4^(16-x)*5^(8-x)
{16+x=24-3x⇒x+3x=24-16⇒4x=8⇒x=2
{4+x=8-x⇒x+x=8-4⇒2x=4⇒x=2
{3x=8-x⇒3x+x=8⇒4x=8⇒x=2
ответ х=2