3^9x = 3^7x+8 [1]

asked by guest
on Nov 15, 2024 at 7:58 pm



You asked:

Solve the equation 39x=37x+81{3}^{9} x = {3}^{7} x + 8 \cdot 1 for the variable xx.

MathBot Answer:

The solution is: x=12187=0.000457247370827617741197988111568358481938728852309099222679469593049839963420210333790580704160951074531321444901691815272062185642432556012802926383173296753543667123914037494284407864654778235025148605395518975765889346136259716506630086877000x = \frac{1}{2187} = 0.000\overline{457247370827617741197988111568358481938728852309099222679469593049839963420210333790580704160951074531321444901691815272062185642432556012802926383173296753543667123914037494284407864654778235025148605395518975765889346136259716506630086877000}


19683x=2187x+817496x=8x=12187\begin{aligned}19683 x &= 2187 x + 8\\17496 x &= 8\\x &= \frac{1}{2187}\end{aligned}