Solve 3log 27 + 3log 6 - 3log 2

Evaluate

3 lo g_{10} (27) + 3 lo g_{10} (6) - 3 lo g_{10} (2)

Add the terms

More Steps

3 lo g_{10} (162) - 3 lo g_{10} (2)

Rewrite the expression

lo g_{10} (16 2^{3}) - lo g_{10} (2^{3})

Use the logarithm product rule

lo g_{10} (\frac{16 2 ^{3}}{2 ^{3}})

Divide the terms

More Steps

lo g_{10} (8 1^{3})

Write the number in exponential form with the base of 3

lo g_{10} (3^{12})

Solution

12 lo g_{10} (3)

Alternative Form

\approx 5.725455

Calculate the value