What is 10(log_{10}(x)-log_{10}(0.0625)) ?

The solution to 10(log_{10}(x)-log_{10}(0.0625)) is 10log_{10}(16x)

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simplify 10(log_{10}(x)-log_{10}(0.0625))

simplify

10 (lo g_{10} (x) - lo g_{10} (0.0625))

10 lo g_{10} (16 x)

Solution steps

10 (lo g_{10} (x) - lo g_{10} (0.0625))

Apply log rule:

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

lo g_{10} (x) - lo g_{10} (0.0625) = lo g_{10} (\frac{x}{0.0625})

= 10 lo g_{10} (\frac{x}{0.0625})

Simplify

\frac{x}{0.0625} : 16 x

= 10 lo g_{10} (16 x)

lo g_{5} (- 3 x)

ln (2) \frac{1}{2}

ln (16 x^{2})

- lo g_{10} (1.43 \cdot 1 0^{- 2})

x (ln (x + 1) - ln (x))

What is 10(log_{10}(x)-log_{10}(0.0625)) ?
The solution to 10(log_{10}(x)-log_{10}(0.0625)) is 10log_{10}(16x)