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Suppose that In 2=p. Use properties of logarithms to write the logarithm in terms of p. ln4 ln4

User Wbadart
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Final answer:

To write the logarithm ln(4) in terms of p, we can use the property of logarithms that states the logarithm of a product of two numbers is the sum of the logarithms of the two numbers. The logarithm ln(4) in terms of p is 2p.

Step-by-step explanation:

To write the logarithm ln(4) in terms of p, we can use the property of logarithms that states the logarithm of a product of two numbers is the sum of the logarithms of the two numbers. So, we can rewrite ln(4) as ln(2 * 2). Using the property mentioned earlier, this can be expressed as ln(2) + ln(2).

Since we are given that In(2) = p, we can substitute p for In(2), giving us ln(4) = p + p, or 2p.

Therefore, the logarithm ln(4) in terms of p is 2p.

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