Solve Logarithmic Equation: 7(3+7x)-3(4-2x)=0

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The discussion focuses on solving the logarithmic equation 7(3 + 7x) = 3(4 - 2x). The key method recommended is to take the logarithm of both sides, transforming the equation into a linear form. This approach allows for straightforward application of algebraic techniques to isolate and solve for the variable x. The final solution can be derived using standard methods for solving linear equations.

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i have the equation 7(3+7x) = 3(4-2x)

so, I tried 7(3+7x)-3(4-2x)=0

...
 
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datafiend said:
i have the equation 7(3+7x) = 3(4-2x)

so, I tried 7(3+7x)-3(4-2x)=0

...

Hi there datafiend,

Take the logarithm on both sides of the equation $7^{(3 + 7x)} = 3^{(4 - 2x)}$. This will give you a linear equation in $x$, which you can solve by usual methods.
 

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