What is log_{a}(5)+log_{a}(x)-log_{a}(2) ?

The solution to log_{a}(5)+log_{a}(x)-log_{a}(2) is log_{a}((5x)/2)

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simplify log_{a}(5)+log_{a}(x)-log_{a}(2)

simplify

lo g_{a} (5) + lo g_{a} (x) - lo g_{a} (2)

lo g_{a} (\frac{5 x}{2})

Solution steps

lo g_{a} (5) + lo g_{a} (x) - lo g_{a} (2)

Apply log rule:

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

lo g_{a} (5) + lo g_{a} (x) = lo g_{a} (5 x)

= lo g_{a} (5 x) - lo g_{a} (2)

Apply log rule:

lo g_{a} (x) - lo g_{a} (y) = lo g_{a} (\frac{x}{y})

lo g_{a} (5 x) - lo g_{a} (2) = lo g_{a} (\frac{5 x}{2})

= lo g_{a} (\frac{5 x}{2})

x^{2} + b x + \frac{b ^{2}}{4}

2 x^{2} (- 3 x^{2})^{3}

(x + 2)^{2} - (y - 1)^{2}

(- 14 + \frac{3}{2} b) - (1 + \frac{8}{2} b)

\frac{2 \cdot ( 2 - \frac{3}{2} ) ^{2}}{2 ^{2} \cdot 3 ^{6}}

What is log_{a}(5)+log_{a}(x)-log_{a}(2) ?
The solution to log_{a}(5)+log_{a}(x)-log_{a}(2) is log_{a}((5x)/2)