What is log_{10}(9x^4)+log_{10}(5x^5) ?

The solution to log_{10}(9x^4)+log_{10}(5x^5) is log_{10}(45x^9)

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simplify log_{10}(9x^4)+log_{10}(5x^5)

simplify

lo g_{10} (9 x^{4}) + lo g_{10} (5 x^{5})

lo g_{10} (45 x^{9})

Solution steps

lo g_{10} (9 x^{4}) + lo g_{10} (5 x^{5})

Apply log rule:

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

lo g_{10} (9 x^{4}) + lo g_{10} (5 x^{5}) = lo g_{10} (9 x^{4} \cdot 5 x^{5})

= lo g_{10} (9 x^{4} \cdot 5 x^{5})

Simplify

9 x^{4} \cdot 5 x^{5} : 45 x^{9}

= lo g_{10} (45 x^{9})

lo g_{3} (x) - lo g_{3} (x^{9})

192 ln (\frac{192}{762}) - 192 + 763

lo g_{10} (\frac{y ^{8}}{z})

lo g_{13} (\frac{13}{y})

lo g_{4} (21) - lo g_{4} (3)

What is log_{10}(9x^4)+log_{10}(5x^5) ?
The solution to log_{10}(9x^4)+log_{10}(5x^5) is log_{10}(45x^9)