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Solve
2+log_(3)(7x)=4

Solve $2+\log _{3}(7 x)=4$

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Solve advanced linear inequalities

Full solution

Q. Solve

2+\log _{3}(7 x)=4

Isolate logarithmic term: Step $1$ : Isolate the logarithmic term. $\newline$ $2 + \log_3(7x) = 4$ $\newline$ $\log_3(7x) = 4 - 2$ $\newline$ $\log_3(7x) = 2$
Convert to exponential form: Step $2$ : Convert the logarithmic equation to its exponential form. $\newline$ $3^{\log_3(7x)} = 3^2$ $\newline$ $7x = 9$
Solve for x: Step $3$ : Solve for x. $\newline$ $7x = 9$ $\newline$ $x = \frac{9}{7}$

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