Solve 3(5^(x 1) - 1) 12(5^(x 1))

Evaluate

3 (5^{x \times 1} - 1) \times 12 (5^{x \times 1})

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

3 (5^{x \times 1} - 1) \times 12 (5^{x \times 1}) = 0

Any expression multiplied by 1 remains the same

3 (5^{x} - 1) \times 12 (5^{x \times 1}) = 0

Any expression multiplied by 1 remains the same

3 (5^{x} - 1) \times 12 (5^{x}) = 0

Calculate

3 (5^{x} - 1) \times 12 \times 5^{x} = 0

Multiply both sides

3 (5^{x} - 1) \times 12 \times 5^{x} \times \frac{1}{36} = 0 \times \frac{1}{36}

Calculate

(5^{x} - 1) \times 5^{x} = 0

Separate the equation into 2 possible cases

5^{x} - 1 = 0 5^{x} = 0

Solve the equation

More Steps

x = 0 5^{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 = 0 x \in / R

Solution

x = 0

Simplify the expression