Log3 x = 3log3 2+4log9 5

Question

Log3 x = 3log3 2+4log9 5

Answer 1

Log(3)x=3Log(3)2+4Log(9)5
Log(3)x=3Log(3)2+4Log(3²)5
Log(3)x=3Log(3)2+1/2*4Log(3)5
Log(3)x=3Log(3)2+2Log(3)5
Log(3)x=Log(3)8+Log(3)25
Log(3)x=Log(3)200
x=200

Answer 2

Log(3)x=3log(3)2 +4log(3^2)5,
log(3)x=log(3)2^3 +(4/2)log(3)5,
log(3)x=log(3)8+2log(3)5,
log(3)x=log(3)8+log(3)25,
log(3)x=log(3)(8*25),
x=8*25=200