By definition, if :


<span>We highlight the following elements:
</span><span>a = Base of the logarithm;
b = logarithmand or antilogarithm
y = logarithm</span><span>
Therefore:
</span><span>Note that since the base was not specified, we know that it is equal to 10.
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Answer:
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Base of the logarithm = 10
The least common denominator is 5y, and can be obtained by multiplying
-1/y by 5/5 to get -5/5y.
If we add the numbers using the least common denominator, we get:
-5/5y + 2/5y = -3/5y
The product of 4xy and y² + 2x can also be written as
4xy(y² + 2x)
When we have brackets like this, we multiply whatever is left of the brackets by everything inside.
1) 4xy multiplied by y²
4xy x y² = 4xy³
2) 4xy multiplied by 2x
4xy x 2x = 8x²y
3) Add together 4xy³ and 8x²y
4xy³ + 8x²y