Log x - log 6 = 2 log 4

Mathematics

1 answer:

mylen [45]3 years ago

7 0

log(x) - log(6) = 2 log(4)

Condense the left side, using the property log(a) - log(b) = log(a/b) (if b ≠ 0):

log(x / 6) = 2 log(4)

Rewrite the right side, using the property n log(a) = log(aⁿ ):

log(x / 6) = log(4²)

log(x / 6) = log(16)

Cancel the logarithms (i.e. take the exponential of both sides):

exp(log(x / 6)) = exp(log(16))

x / 6 = 16

Solve for x :

x = 6 × 16

x = 96

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