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Find x if logx =2 log 5 + 3 log 2
- a)50
- b)100
- c)150
- d)200
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
Find x if logx =2 log 5 + 3 log 2a)50b)100c)150d)200Correct answer is ...
log x = log 25 + log 8 = log (25 x 8 ) = log 200.
Most Upvoted Answer
Find x if logx =2 log 5 + 3 log 2a)50b)100c)150d)200Correct answer is ...
Solution:
Given, log x = 2 log 5 + 3 log 2a
We know that, log a + log b = log (ab) and log a - log b = log (a/b)
Using the above properties of logarithms, we can simplify the given expression as:
log x = log 5^2 + log (2a)^3
log x = log (5^2 × (2a)^3)
log x = log (5^2 × 8a^3)
log x = log (200a^3)
Now, we can equate the logarithmic expression with the required value of x as:
x = 200a^3
Hence, the correct option is (D) 200.
Given, log x = 2 log 5 + 3 log 2a
We know that, log a + log b = log (ab) and log a - log b = log (a/b)
Using the above properties of logarithms, we can simplify the given expression as:
log x = log 5^2 + log (2a)^3
log x = log (5^2 × (2a)^3)
log x = log (5^2 × 8a^3)
log x = log (200a^3)
Now, we can equate the logarithmic expression with the required value of x as:
x = 200a^3
Hence, the correct option is (D) 200.
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Find x if logx =2 log 5 + 3 log 2a)50b)100c)150d)200Correct answer is option 'D'. Can you explain this answer?
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