Question

Use logarithms to solve the equation
8e^(3x) + 4 = 15
Round to the nearest thousandth.
Explain you answer step by step please

Answer 1

1) subtract 4
2) divide by 8
3) write in equivalent logarithmic form
4) divide by 3

Answer 2

it would be 0.106 ?

Answer 3

i don't know
did you compute
\[\frac{\ln(\frac{11}{8})}{3}\]?

Answer 4

yeah that looks good to me

Answer 5

Further "simplifications" that can be done:

\[\frac { \ln { \frac{ 11 }{ 8 } } } { 3 } = \ln { (\frac{ 11 }{ 8 })^{1/3} } = \ln { (\frac{ 11^{1/3} }{ 2 }) } = \frac { 1 }{ 3} \ln(11) - \ln(2)\]