Solve 13^2x 11 = 7^5x^3

Evaluate

1 3^{2} x \times 11 = 7^{5} x^{3}

Multiply the numbers

More Steps

1859 x = 7^{5} x^{3}

Add or subtract both sides

1859 x - 7^{5} x^{3} = 0

Evaluate the power

1859 x - 16807 x^{3} = 0

Factor the expression

x (1859 - 16807 x^{2}) = 0

Separate the equation into 2 possible cases

x = 0 1859 - 16807 x^{2} = 0

Solve the equation

More Steps

x = 0 x = \frac{13 77}{343} x = - \frac{13 77}{343}

Solution

x_{1} = - \frac{13 77}{343}, x_{2} = 0, x_{3} = \frac{13 77}{343}

Alternative Form

x_{1} \approx - 0.332579, x_{2} = 0, x_{3} \approx 0.332579

Solve the equation