Question

In5+ In7+ 2In6 covert to single logarithm"

Answer 1

To convert the expression to a single logarithm, we can use the properties of logarithms: the Product Rule, Power Rule, and Change of Base Formula.

Step-by-step explanation:

To convert the expression in the question to a single logarithm, we can use the properties of logarithms. First, let's define the properties:

• Product Rule: logb(x * y) = logb(x) + logb(y)
• Power Rule: logb(xn) = n * logb(x)
• Change of Base Formula: logb(x) = loga(x) / loga(b)

Now, let's apply these rules:

1. In5 + In7 + 2In6
2. = In(5 * 7) + In(62)
3. = In(35) + In(36)
4. = In(35 * 36)

Therefore, the expression In5 + In7 + 2In6 can be written as In(35 * 36), which is a single logarithm.

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