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Popular >

simplify log_{10}(x^6y)

Solution

simplify

lo g_{10} (x^{6} y)

Solution

6 lo g_{10} (x) + lo g_{10} (y)

Solution steps

lo g_{10} (x^{6} y)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{10} (x^{6} y) = lo g_{10} (x^{6}) + lo g_{10} (y)

= lo g_{10} (x^{6}) + lo g_{10} (y)

Simplify

lo g_{10} (x^{6}) : 6 lo g_{10} (x)

= 6 lo g_{10} (x) + lo g_{10} (y)

Popular Examples

simplify log_{10}(b)+8log_{10}(d)simplify

lo g_{10} (b) + 8 lo g_{10} (d)

simplify 2ln(((1000+10t))/(1000))simplify

2 ln (\frac{( 1000 + 10 t )}{1000})

simplify 4log_{3}(u)+8log_{3}(v)simplify

4 lo g_{3} (u) + 8 lo g_{3} (v)

simplify log_{2}((sqrt(g))/8)simplify

lo g_{2} (\frac{g}{8})

simplify log_{10}((3t)/7)simplify

lo g_{10} (\frac{3 t}{7})

Frequently Asked Questions (FAQ)

What is log_{10}(x^6y) ?
The solution to log_{10}(x^6y) is 6log_{10}(x)+log_{10}(y)