Solve log4((x-3)(103x-x^2))

Evaluate

lo g_{10} (4) \times ((x - 3) (103 x - x^{2}))

Remove the parentheses

lo g_{10} (4) \times (x - 3) (103 x - x^{2})

Simplify

More Steps

2 lo g_{10} (2) \times (x - 3) (103 x - x^{2})

Multiply the terms

More Steps

(2 lo g_{10} (2) \times x - 6 lo g_{10} (2)) (103 x - x^{2})

Apply the distributive property

2 lo g_{10} (2) \times x \times 103 x - 2 lo g_{10} (2) \times x \times x^{2} - 6 lo g_{10} (2) \times 103 x - (- 6 lo g_{10} (2) \times x^{2})

Multiply the terms

More Steps

206 lo g_{10} (2) \times x^{2} - 2 lo g_{10} (2) \times x \times x^{2} - 6 lo g_{10} (2) \times 103 x - (- 6 lo g_{10} (2) \times x^{2})

Multiply the terms

More Steps

206 lo g_{10} (2) \times x^{2} - 2 lo g_{10} (2) \times x^{3} - 6 lo g_{10} (2) \times 103 x - (- 6 lo g_{10} (2) \times x^{2})

Multiply the numbers

206 lo g_{10} (2) \times x^{2} - 2 lo g_{10} (2) \times x^{3} - 618 lo g_{10} (2) \times x - (- 6 lo g_{10} (2) \times x^{2})

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

206 lo g_{10} (2) \times x^{2} - 2 lo g_{10} (2) \times x^{3} - 618 lo g_{10} (2) \times x + 6 lo g_{10} (2) \times x^{2}

Solution

More Steps

212 lo g_{10} (2) \times x^{2} - 2 lo g_{10} (2) \times x^{3} - 618 lo g_{10} (2) \times x

Simplify the expression

Factor the expression