Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q?
Question 1 Report
Given that logp = 2 logx + 3logq, which of the following expresses p in terms of x and q?
Answer Details
We are given the equation: log p = 2 log x + 3 log q.
We know that log a + log b = log(ab) and log a - log b = log(a/b).
Using these properties, we can rewrite the given equation as follows:
log p = log x^2 + log q^3
log p = log (x^2q^3)
Now we can write the exponential form of this equation as:
p = x^2q^3
Therefore, the expression for p in terms of x and q is p = x^2q^3.
Hence, the correct answer is "p = x^2q^3".
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