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.

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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