# If (2.3) x = (0.23) y = 1000 then find the value of

2.3x = 0.23y = 1000

Consider 2.3x = 1000

log 2.3x = log103

x log2.3 = 3 log 10

log2.3 = [ log10 = 1] …..I

Consider 0.23y = 1000

log 0.23y = log 1000

y log0.23 = log 103

y log 0.23 = 3 log 10

log 0.23 = ……..II

Subtract eq. II from I

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