What is 2log_{10}(8)+4log_{10}(x) ?

The solution to 2log_{10}(8)+4log_{10}(x) is log_{10}(64x^4)

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simplify 2log_{10}(8)+4log_{10}(x)

simplify

2 lo g_{10} (8) + 4 lo g_{10} (x)

lo g_{10} (64 x^{4})

Solution steps

2 lo g_{10} (8) + 4 lo g_{10} (x)

2 lo g_{10} (8) = lo g_{10} (8^{2})

4 lo g_{10} (x) = lo g_{10} (x^{4})

= lo g_{10} (8^{2}) + lo g_{10} (x^{4})

Apply log rule:

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

lo g_{10} (8^{2}) + lo g_{10} (x^{4}) = lo g_{10} (8^{2} x^{4})

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

Simplify

8^{2} x^{4} : 64 x^{4}

= lo g_{10} (64 x^{4})

lo g_{9} (18) + lo g_{9} (2)

ln (z) + ln (12 x)

ln (\frac{e x ^{6}}{y})

2 lo g_{2} (x) + 4 lo g_{2} (y)

(lo g_{10} (6) + lo g_{10} (4)) - lo g_{10} (3)

What is 2log_{10}(8)+4log_{10}(x) ?
The solution to 2log_{10}(8)+4log_{10}(x) is log_{10}(64x^4)