`7^(3x)=18` Solve the equation.

Expert Answers

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To solve the given equation `7^(3x)=18` , we may take "ln" on both sides of the equation.


Apply natural logarithm property:` ln (x^n) = n*ln (x)` .


Divide both sides by `3ln(7)` .



`x= (ln(18))/(ln(343))or 0.495` (approximated value).

Checking: Plug-in `x=0.495` on `7^(3x)=18` .



`17.99 ~~18`  TRUE

Thus, the  `x=(ln(18))/(3ln(7))` is the real exact solution of the equation `7^(3x)=18` .

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