Question 1022326
{{{ 7*e^(3x) + 5 = 40 }}}
{{{ 7*e^(3x) = 35 }}}
{{{ e^(3x) = 5 }}}
Take the natural log of both sides
{{{ 3x = ln(5) }}}
{{{ x = (1/3)*ln(5) }}}
{{{ x = 1.60944/3 }}}
{{{ x =  .536 }}}
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check:
{{{ 7*e^(3x) + 5 = 40 }}}
{{{ 7*e^(3*.536) + 5 = 40 }}}
{{{ 7*e^1.608 + 5 = 40 }}}
{{{ 7*4.993 + 5 = 40 }}}
{{{ 34.95 + 5 = 40 }}}
{{{ 39.95 = 40 }}}
error due to rounding off