How do you solve $8 + 3 e^{3 x} = 26$ $8+3e^(3x)=26$ ?

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Answer 1 · 2016-11-11T08:42:41

$x = \frac{ln 6}{3} = 0.59725$ $x=ln6/3 = 0.59725$

$8 + 3 e^{3 x} = 26$ $8+3e^(3x)=26$

$3 e^{3 x} = 26 - 8 = 18$ $3e^(3x) = 26-8 = 18$

$e^{3 x} = \frac{18}{3} = 6$ $e^(3x) = 18/3 = 6$

$3 x = ln 6$ $3x = ln6$

$x = \frac{ln 6}{3} ≅ 0.59725$ $x= ln6/3 ~= 0.59725$

How do you solve 8+3e3x=268+3e^(3x)=26?