given log x 25 - log x 5 = 2- log x 1/125 ; find x
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Answer:
1/5
Step-by-step explanation:
log x 25 - log x 5 = 2- log x 1/125
log x 5^2-log x 5 = 2- log x 5^-3
(2×log x 5) -(log x 5) = 2 +3×log x 5
log x 5 = 2 +3×log x 5
-2log x 5 = 2
log x 5^-2 = 2
5^-2 = x^2
(1/5)^2 = x^2
1/5 = x
so the value of x is 1/5
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