#74 03.03 Properties of Logarithms

label Mathematics
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May 14th, 2015

log(base b)r + log(base b)s = log(base b)(r*s), so the given expression is equal to

log(base 4)(2*32) = log(base 4)64.

Now log(base b)y = x means y^x = b and vice versa. Applying this to log(base 4)64, the question is, "What power of 4 equals 64?" The answer is 3.

May 14th, 2015

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