Expanding the Expression log20 mn5p Using Logarithmic Properties Step by Step

Expand: log20 mn5p

To expand the expression “log20 mn5p,” let’s break it down step by step using logarithmic properties:

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To expand the expression “log20 mn5p,” let’s break it down step by step using logarithmic properties:

1. First, we can use the product rule of logarithms, which states that log(ab) = log(a) + log(b). Applying this rule, we rewrite the expression as log20 + log(mn5p).

2. Next, we can apply another logarithmic property called the power rule, which states that log(a^b) = b * log(a). Applying this rule to the second term, we can rewrite it as log(m) + log(n^5) + log(p).

3. Continuing with the power rule, we rewrite the second term as log(m) + 5 * log(n) + log(p).

Therefore, the expanded form of log20 mn5p is log20 + log(m) + 5 * log(n) + log(p).

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