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6²ⁿ  =  800      take the log of both sides

log 6²ⁿ   = log 800      and by a log property, we can write

2n * log 6  = log 800

n *  ( 2 log 6)  =  log 800           divide both sides by 2 log 6

n  =  log 800  /  [ 2 log 6 ]   ≈  1.87

ln 5  +  ln  (2x)  =  5        we can write

ln ( 5 * 2x)  =  5

ln (10x)  =  5       in exponential form ,we have

e^5  = 10x         divide both sides by 10

e^5 / 10  =  x  ≈  14.84