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Popular >

simplify log_{10}(yz^7)

Solution

simplify

lo g_{10} (y z^{7})

Solution

lo g_{10} (y) + 7 lo g_{10} (z)

Solution steps

lo g_{10} (y z^{7})

Apply log rule:

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

lo g_{10} (y z^{7}) = lo g_{10} (y) + lo g_{10} (z^{7})

= lo g_{10} (y) + lo g_{10} (z^{7})

Simplify

lo g_{10} (z^{7}) : 7 lo g_{10} (z)

= lo g_{10} (y) + 7 lo g_{10} (z)

Popular Examples

expand log_{4}(6x^4)expand

lo g_{4} (6 x^{4})

simplify 2log_{8}(9x)-log_{8}(2x-5)simplify

2 lo g_{8} (9 x) - lo g_{8} (2 x - 5)

expand log_{7}(7/y)expand

lo g_{7} (\frac{7}{y})

simplify log_{3}((xz)/y)simplify

lo g_{3} (\frac{x z}{y})

simplify 7log_{12}(x)+2log_{12}(y)simplify

7 lo g_{12} (x) + 2 lo g_{12} (y)

Frequently Asked Questions (FAQ)

What is log_{10}(yz^7) ?
The solution to log_{10}(yz^7) is log_{10}(y)+7log_{10}(z)