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What is the value of P if log,2. logp625 = log10 16.log10?
  • a)
    2
  • b)
    4
  • c)
    5
  • d)
    7
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
What is the value of P if log,2. logp625 = log10 16.log10?a)2b)4c)5d)7...
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What is the value of P if log,2. logp625 = log10 16.log10?a)2b)4c)5d)7...
Given equation:
log2(logp625) = log10(16*log10)

Simplify the equation:
log2(logp(5^4)) = log10(16*1)

Apply logarithmic properties:
log2(4logp5) = log10(16)

Apply the power rule of logarithms:
log2(logp5^4) = log10(16)

Apply the power rule of logarithms again:
log2(4logp5) = log10(16)

Since log2(4) = 2:
2logp5 = log10(16)

Apply the power rule of logarithms:
logp5^2 = log10(16)

Since logp5^2 = 2logp5:
2logp5 = log10(16)

From the equation, we can see that:
2logp5 = log102^4

Comparing the bases:
2logp5 = 4

Therefore, the value of p is:
5
So, the correct answer is option C (5).
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What is the value of P if log,2. logp625 = log10 16.log10?a)2b)4c)5d)7Correct answer is option 'C'. Can you explain this answer?
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