What is 2log_{10}(5)-2log_{10}(x) ?

The solution to 2log_{10}(5)-2log_{10}(x) is log_{10}((25)/(x^2))

Popular >

simplify 2log_{10}(5)-2log_{10}(x)

simplify

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

lo g_{10} (\frac{25}{x ^{2}})

Solution steps

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

2 lo g_{10} (5) = lo g_{10} (5^{2})

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

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

Apply log rule:

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

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

= lo g_{10} (\frac{5 ^{2}}{x ^{2}})

Simplify

\frac{5 ^{2}}{x ^{2}} : \frac{25}{x ^{2}}

= lo g_{10} (\frac{25}{x ^{2}})

ln (2 u) - ln (\frac{u}{2})

lo g_{a} (3 x yz)

14 + lo g_{10} (1.8 \cdot 1 0^{- 5})

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

lo g_{10} (\frac{x ^{13} y ^{19}}{z ^{13}})

What is 2log_{10}(5)-2log_{10}(x) ?
The solution to 2log_{10}(5)-2log_{10}(x) is log_{10}((25)/(x^2))