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What is the value of log, base, 8, 64log 8​ 64?

Question

What is the value of log, base, 8, 64log 8​ 64?

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Solution

The value of log base 8 of 64 is 2.

Here's the step by step solution:

  1. We know that log base b of a is the exponent to which we have to raise b to get a. In other words, if b^y = a, then log base b of a is y.

  2. In this case, we want to find y such that 8^y = 64.

  3. We know that 8^2 = 64.

  4. Therefore, log base 8 of 64 is 2.

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