devandaidone devandaidone

08-06-2022
Mathematics

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What is the approximate solution to this equation?

7e^6x=42

Respuesta :

beinggreat78 beinggreat78

08-06-2022

Answer:

Rounding to nearest tenth, the answer is 0.3.

Step-by-step explanation:

[tex]\sf 7e^{6x}=42\\\frac{7e^{6x}}{7}=\frac{42}{7}\\e^{6x}=6\\[/tex]

[tex]\sf 6x = \ln(6)\\\\isolate~"x"~and~re-arrange\\\\x=\frac{\ln(6)}{6}[/tex]

≈ [tex]0.3[/tex]

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