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Gemiola [76]
3 years ago
12

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

Mathematics
1 answer:
Elodia [21]3 years ago
8 0

9514 1404 393

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.

<u>As is</u>

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

__

<u>Simplified</u>

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

  128 = 2^t

  log(128) = t·log(2)

_____

Solution:

  t = log(128)/log(2) = 7

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