What is log_{10}((5x-3)^2)+log_{10}((2x+3)^2)0 ?

The solution to log_{10}((5x-3)^2)+log_{10}((2x+3)^2)0 is log_{10}((5x-3)^2)

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simplify log_{10}((5x-3)^2)+log_{10}((2x+3)^2)0

simplify

lo g_{10} ((5 x - 3)^{2}) + lo g_{10} ((2 x + 3)^{2}) 0

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

Solution steps

lo g_{10} ((5 x - 3)^{2}) + lo g_{10} ((2 x + 3)^{2}) \cdot 0

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

0 \cdot lo g_{10} ((2 x + 3)^{2}) = lo g_{10} (((2 x + 3)^{2})^{0})

= lo g_{10} ((5 x - 3)^{2}) + lo g_{10} (((2 x + 3)^{2})^{0})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{10} ((5 x - 3)^{2}) + lo g_{10} (((2 x + 3)^{2})^{0}) = lo g_{10} (((2 x + 3)^{2})^{0} (5 x - 3)^{2})

= lo g_{10} (((2 x + 3)^{2})^{0} (5 x - 3)^{2})

Simplify

(5 x - 3)^{2} ((2 x + 3)^{2})^{0} : (5 x - 3)^{2}

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

20 lo g_{5} (x) - 4 lo g_{5} (y)

- lo g_{10} (2 π) - \frac{1}{2} (0. 1^{2} + 0. 3^{2}) - 2.238

lo g_{10} (42.61) - lo g_{10} (26.03)

- lo g_{10} (4.25 \cdot 1 0^{- 7})

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

What is log_{10}((5x-3)^2)+log_{10}((2x+3)^2)0 ?
The solution to log_{10}((5x-3)^2)+log_{10}((2x+3)^2)0 is log_{10}((5x-3)^2)