What is 3log_{10}(x^5)-2log_{10}(x^4) ?

The solution to 3log_{10}(x^5)-2log_{10}(x^4) is 7log_{10}(x)

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simplify 3log_{10}(x^5)-2log_{10}(x^4)

simplify

3 lo g_{10} (x^{5}) - 2 lo g_{10} (x^{4})

7 lo g_{10} (x)

Solution steps

3 lo g_{10} (x^{5}) - 2 lo g_{10} (x^{4})

Simplify

3 lo g_{10} (x^{5}) : 15 lo g_{10} (x)

= 15 lo g_{10} (x) - 2 lo g_{10} (x^{4})

Simplify

- 2 lo g_{10} (x^{4}) : - 8 lo g_{10} (x)

= 15 lo g_{10} (x) - 8 lo g_{10} (x)

Add similar elements:

15 lo g_{10} (x) - 8 lo g_{10} (x) = 7 lo g_{10} (x)

= 7 lo g_{10} (x)

lo g_{10} (\frac{x ^{2} \cdot y}{3 z})

lo g_{2} (\frac{15 x ( x - 1 )}{( 3 x + 4 ) ( 2 - x )})

lo g_{5} (\frac{5 x ^{9}}{y})

lo g_{10} (3) + lo g_{10} (4) - lo g_{10} (2)

lo g_{a} (\frac{x ^{3} w}{y ^{2} z ^{4}})

What is 3log_{10}(x^5)-2log_{10}(x^4) ?
The solution to 3log_{10}(x^5)-2log_{10}(x^4) is 7log_{10}(x)