What is expand log_{9}(7*5*12^5) ?

The solution to expand log_{9}(7*5*12^5) is log_{9}(7)+log_{9}(5)+5log_{9}(12)

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Popular >

expand log_{9}(7512^5)

expand

lo g_{9} (7 \cdot 5 \cdot 1 2^{5})

lo g_{9} (7) + lo g_{9} (5) + 5 lo g_{9} (12)

Decimal

7.27275 \dots

Solution steps

lo g_{9} (7 \cdot 5 \cdot 1 2^{5})

Apply log rule:

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

lo g_{9} (7 \cdot 5 \cdot 1 2^{5}) = lo g_{9} (7) + lo g_{9} (5) + lo g_{9} (1 2^{5})

= lo g_{9} (7) + lo g_{9} (5) + lo g_{9} (1 2^{5})

Apply log rule:

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

lo g_{9} (1 2^{5}) = 5 lo g_{9} (12)

= lo g_{9} (7) + lo g_{9} (5) + 5 lo g_{9} (12)

lo g_{8} ((\frac{u ^{6}}{v})^{4})

ln (\frac{3 x - 5}{2 x + 1})

ln ((x^{4} + 5) (x^{2} - 1)^{2})

5 ln (x) + 6 ln (y) + 9 ln (z)

ln (\frac{1}{y ^{2} - 1})

What is expand log_{9}(7*5*12^5) ?
The solution to expand log_{9}(7*5*12^5) is log_{9}(7)+log_{9}(5)+5log_{9}(12)