Evaluate log3^8, given log3^2 is equivalent to 0.631

Mathematics

1 answer:

elixir [45]2 years ago

7 0

We will use the followin property of logarithms:

$log(a^b) = b log(a)$

So, we have

$log(3^2) = 2 log(3) = 0.631$

If you multiply both sides by 4, you get

$8log(3) = log(3^8) = 2.524$

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