Question

What is the logarithmic formula 10000= 625/8*2^t ?

Answer 1

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Answer:

     log(128) = t·log(2)

Step-by-step explanation:

You can take logarithms the way the formula is, or you can simplify it first.

As is

  log(10000) = log(625) -log(8) +t·log(2)

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Simplified

  8·10000/625 = 2^t . . . . . multiply by 8/625

  128 = 2^t

  log(128) = t·log(2)

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Solution:

  t = log(128)/log(2) = 7