Question

ln(2x + 3) = 8

Answer 1

ln(2x + 3) = 8
2x + 3 = e^8
2x = e^8 -3
x = (e^8 -3)/2

Answer 2

raise each as a power of e

using the log law

\[a^{\ln _{a}(x)} = x\]

then

\[2x + 3 = e^8\]

solve for x

\[x = \frac{e^8 - 3}{2}\]

Answer 3

Use the definition of the natural logarithm.\[\Large \ln(2x+3) = 8 \longrightarrow 2x+3=e^8\]

Answer 4

x = 1/2 (-3 + e^8), x = 1488.98