4. Given 2 log x + 1 = log250, find :
(i) x
(ii) log2x
Answers
Answered by
0
Answer:
given 2log x+1_ log 250 answer is x
Answered by
1
Answer:
log x = 0.7
log x = 0.7log 2x = 1
Step-by-step explanation:
METHOD 1:
2 log x + 1 = log 250
2 log x + 1 = log (125×2) = log 125 + log 2
2 log x + 1 = log(5³) + log 2
2 log x + 1 = 3 (log 5) + (log 2)
2 log x + 1 = 3 × (0.7) + (0.3)
2 log x + 1 = 2.1 + 0.3 = 2.4
2 log x = 2.4 - 1 = 1.4
log x = 1.4/2 = 0.7
log x = 0.7
x = 5
log 2x = log 2×5 = log 10 = 1
log 2x = 1
METHOD 2:
2 log x + 1 = log 250
log x² + log 10 = log 250
log (10x²) = log 250
So, 10x² = 250
x² = 25
x = ±5
Thank you.
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