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

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To solve the logarithmic equation 7(3+7x) = 3(4-2x), take the logarithm of both sides. This transforms the equation into a linear form in terms of x. After applying logarithmic properties, standard methods can be used to solve for x. The approach simplifies the problem and allows for straightforward calculations. This method effectively resolves the logarithmic equation.
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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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