What is 2log_{10}(7)+3log_{10}(x) ?

The solution to 2log_{10}(7)+3log_{10}(x) is log_{10}(49x^3)

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simplify 2log_{10}(7)+3log_{10}(x)

simplify

2 lo g_{10} (7) + 3 lo g_{10} (x)

lo g_{10} (49 x^{3})

Solution steps

2 lo g_{10} (7) + 3 lo g_{10} (x)

2 lo g_{10} (7) = lo g_{10} (7^{2})

3 lo g_{10} (x) = lo g_{10} (x^{3})

= lo g_{10} (7^{2}) + lo g_{10} (x^{3})

Apply log rule:

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

lo g_{10} (7^{2}) + lo g_{10} (x^{3}) = lo g_{10} (7^{2} x^{3})

= lo g_{10} (7^{2} x^{3})

Simplify

7^{2} x^{3} : 49 x^{3}

= lo g_{10} (49 x^{3})

\frac{1}{7} [ln (x) - ln (x + 4)]

\frac{ln ( a ) - 3 ln ( b )}{2}

lo g_{6} (\frac{36 a ^{6} 2 - b}{c ( b + 8 ) ^{2}})

lo g_{b} (\frac{a}{2})

lo g_{10} (16) + lo g_{10} (3)

What is 2log_{10}(7)+3log_{10}(x) ?
The solution to 2log_{10}(7)+3log_{10}(x) is log_{10}(49x^3)