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

[datafiend]

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

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

...

 

[Euge]

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.