Q. Rewrite the following in the form log(c).log(3)+log(2)
Combine logarithms using product property: We will use the product property of logarithms to combine log(3) and log(2) into a single logarithm. The product property states that the sum of two logarithms with the same base is equal to the logarithm of the product of their arguments.Calculation: log(3)+log(2)=log(3×2)
Multiply arguments to find value of c: Now we multiply the arguments of the logarithms to find the value of c.Calculation: 3×2=6So, log(3)+log(2) is equivalent to log(6).
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