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  • 21-08-2016
  • Mathematics
Answered

Solve for x:

e^ln5 = x

ln1 - lne = x

ln6 + ln(x) - ln(2) =3

Verified Answer :

Panoyin
Panoyin Panoyin
  • 21-08-2016

\(e^{ln(5)} = x\)
\(5 = x\)

\(ln(1) - ln(e) = x\)
\(0 + 1 = x\)
\(1 = x\)

\(ln(6) + ln(x) - ln(2) = 3\)
\(ln(6) - ln(2) + ln(x) = 3\)
\(\frac{ln(6)}{ln(2)} + ln(x) = 3\)
\(\frac{ln(3) + ln(2)}{ln(2)} + ln(x) = 3\)
\(\frac{ln(3)}{ln(2)} + 1 + ln(x) = 3\)
\(\frac{ln(3)}{ln(2)} + ln(x) = 2\)
\(\frac{ln(3x)}{ln(2)} = 2\)
\(\frac{3x}{2} = e^{2}\)
\(\frac{3x}{2} \approx 7.39\)
\(3x = 14.78\)
\(x \approx 4.926\)

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