Find x if 25x  x  16(x-1) = 64000

Dear student
We have25x×16x-1=6400025x-1+1×16x-1=6400025×16x-1×25=6400025×16x-1=640002525×16x-1=2560Taking log both sides, we getlog25×16x-1=log2560log400x-1=log2560x-1log400=log2560x-1log202=log25602x-1log20=log2560x-1=log25602log20x=log25602log20+1x=2.31  using scientific calculator
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