What is 10log_{10}(1/(1_{0)}) ?

The solution to 10log_{10}(1/(1_{0)}) is 0

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simplify 10log_{10}(1/(1_{0)})

simplify

10 lo g_{10} (\frac{1}{1 _{0}})

0

Solution steps

10 lo g_{10} (\frac{1}{1 _{0}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{1}{1 _{0}}) = lo g_{10} (1) - lo g_{10} (1_{0})

= 10 (lo g_{10} (1) - lo g_{10} (1_{0}))

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (1_{0}) = lo g_{10} (1)

= 10 (lo g_{10} (1) - lo g_{10} (1))

Add similar elements:

lo g_{10} (1) - lo g_{10} (1) = 0

= 10 \cdot 0

Apply rule

0 \cdot a = 0

= 0

\frac{3 ln ( 5 )}{ln ( 5 ) - 2 ln ( 3 )}

lo g_{10} (\frac{x ^{2}}{y}) - 1

lo g_{2} (9 x y)

3 ln (y - x)

- \frac{3}{8} \cdot lo g_{2} (\frac{3}{8}) - \frac{5}{8} \cdot lo g_{2} (\frac{5}{8})