Calculate the number of integers divisible by 4 between 50 and 500, inclusive.
1 answer:
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Collapse the logarithms into one:
Then write both sides as powers of 3:
Simplify the left side and solve for :
But we're not done yet. Notice that both and
are negative when
. We can't take the logarithm of a negative number (the result isn't real-valued, anyway), so we throw this solution out, and we're left with just