# (7.77)^x=(7.777)^y=1000. then prove 1/x-1/y=1/3

Please check the statement again it may be 77.7 but I have written down a solution. The approach will be similar

$\frac{1}{x}-\frac{1}{y}=\frac{1}{3}(\mathrm{log}7.77-\mathrm{log}7.777)$

log7.77 -

__log7.777__will come out to be 1 // you need to check underlined number

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