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put this solution on YOUR website!^{\frac{n}{14}}= \frac{2.5}{5.58})
Start with the given expression.
^{\frac{n}{14}}= 0.448)
Divide
to get
^{\frac{n}{14}}= 0.448-1)
Subtract 1 from both sides.
^{\frac{n}{14}}= -0.552)
Combine like terms.
^{n}= (-0.552)^{14})
Raise both sides to the 14th power. This eliminates the "14" in the denominator of the exponent.
^{n}= 0.00024)
Raise -0.552 to the 14th power to get 0.00024
^{n}= -0.00024)
Divide both sides by -1.
^{n}\right)= \log_{10}\left(0.00024\right))
Take the log of both sides.
= \log_{10}\left(0.00024\right))
Rewrite the left side using the identity
}{\log_{10}\left(0.5\right)})
Divide both sides by
.
Evaluate
with a calculator to get 12.025
So the approximate answer is
(