Solve 9^x-2 * 6^x

Evaluate

9^{x} - 2 \times 6^{x}

To find the roots of the expression,set the expression equal to 0

9^{x} - 2 \times 6^{x} = 0

Factor the expression

(3^{x} - 2^{x + 1}) \times 3^{x} = 0

Separate the equation into 2 possible cases

3^{x} - 2^{x + 1} = 0 3^{x} = 0

Solve the equation

More Steps

x = \frac{1}{lo g _{2} ( 3 ) - 1} 3^{x} = 0

Since the left-hand side is always positive,and the right-hand side is always 0,the statement is false for any value of x

x = \frac{1}{lo g _{2} ( 3 ) - 1} x \in / R

Solution

x = \frac{1}{lo g _{2} ( 3 ) - 1}

Alternative Form

x \approx 1.709511

Factor the expression