Find the value of x?
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Answer:
x=log 25 / log 2
Step-by-step explanation:
3^x = 5^(x-2)
Applying log on both the sides
log 3^x = log 5^(x-2)
【log n^a = a log n】
x log 3 = (x-2) log 5
3x log 3 = x log 5 - 2log 5
2log 5 = x log 5 - x log 3
Taking x common,
2 log 5 = x ( log 5-3)
2 log 5 / log 2 = x
【 x log n = log n ^ x】
log 5^2 / log 2 = x
log 25 / log 2 = x
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