Simplify the equation using laws of logarithms. log2(12)+log2(7)+log2(5)
Question
Simplify the equation using laws of logarithms. log2(12)+log2(7)+log2(5)
Solution
Sure, let's simplify the equation using the laws of logarithms.
The law of logarithms we will use is: logb(mn) = logb(m) + logb(n)
So, we can combine the three terms in the equation:
log2(12) + log2(7) + log2(5) = log2(1275)
This simplifies to:
log2(420)
So, log2(12) + log2(7) + log2(5) simplifies to log2(420).
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