Solve 6log10x^3log10(x-2)

Evaluate

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

A logarithm with the same base and argument equals 1

6 lo g_{10} (10 x^{3}) \times 1 \times (x - 2)

Any expression multiplied by 1 remains the same

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

Apply the distributive property

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

Solution

More Steps

6 lo g_{10} (10 x^{3}) \times x - 12 lo g_{10} (10 x^{3})

Alternative Form

6 x + 18 lo g_{10} (x) \times x - 12 - 36 lo g_{10} (x)

Simplify the expression