What is 24log_{5}(c)+log_{5}(ab) ?

The solution to 24log_{5}(c)+log_{5}(ab) is log_{5}(c^{24}ab)

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simplify 24log_{5}(c)+log_{5}(ab)

simplify

24 lo g_{5} (c) + lo g_{5} (ab)

lo g_{5} (c^{24} ab)

Solution steps

24 lo g_{5} (c) + lo g_{5} (ab)

Apply log rule:

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

24 lo g_{5} (c) = lo g_{5} (c^{24})

= lo g_{5} (c^{24}) + lo g_{5} (ab)

Apply log rule:

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

lo g_{5} (c^{24}) + lo g_{5} (ab) = lo g_{5} (c^{24} ab)

= lo g_{5} (c^{24} ab)

ln (\frac{70}{80})

ln (2) + ln (1 + 3 i)

ln (\frac{x ^{2}}{1 + x})

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

\frac{ln ( 2 )}{ln ( 3 ) + ln ( 2 )}

What is 24log_{5}(c)+log_{5}(ab) ?
The solution to 24log_{5}(c)+log_{5}(ab) is log_{5}(c^{24}ab)