What is 25log_{5}(3)+50log_{5}(x) ?

The solution to 25log_{5}(3)+50log_{5}(x) is log_{5}(3^{25}x^{50})

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simplify 25log_{5}(3)+50log_{5}(x)

simplify

25 lo g_{5} (3) + 50 lo g_{5} (x)

lo g_{5} (3^{25} x^{50})

Solution steps

25 lo g_{5} (3) + 50 lo g_{5} (x)

Apply log rule:

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

25 lo g_{5} (3) = lo g_{5} (3^{25})

= lo g_{5} (3^{25}) + 50 lo g_{5} (x)

Apply log rule:

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

50 lo g_{5} (x) = lo g_{5} (x^{50})

= lo g_{5} (3^{25}) + lo g_{5} (x^{50})

Apply log rule:

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

lo g_{5} (3^{25}) + lo g_{5} (x^{50}) = lo g_{5} (3^{25} x^{50})

= lo g_{5} (3^{25} x^{50})

ln (\frac{1500000000}{824.26})

ln (x) + ln (x + 3) - ln (20 - 5 x)

ln (\frac{5 + e ^{x}}{5 - e ^{x}})

\frac{1}{2} lo g_{6} (3)

ln (sec (x)) + ln (x)

What is 25log_{5}(3)+50log_{5}(x) ?
The solution to 25log_{5}(3)+50log_{5}(x) is log_{5}(3^{25}x^{50})