What is expand log_{7}(11sqrt(3*8)) ?

The solution to expand log_{7}(11sqrt(3*8)) is log_{7}(11)+1/2 log_{7}(24)

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expand log_{7}(11sqrt(3*8))

expand

lo g_{7} (11 3 \cdot 8)

lo g_{7} (11) + \frac{1}{2} lo g_{7} (24)

Decimal Notation

2.04887 \dots

Solution steps

lo g_{7} (11 3 \cdot 8)

Apply log rule:

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

lo g_{7} (11 3 \cdot 8) = lo g_{7} (11) + lo g_{7} (3 \cdot 8)

= lo g_{7} (11) + lo g_{7} (3 \cdot 8)

lo g_{7} (3 \cdot 8) = \frac{1}{2} lo g_{7} (24)

= lo g_{7} (11) + \frac{1}{2} lo g_{7} (24)

ln (f^{1} - f^{2}) - ln (v)

\frac{ln ( \frac{30}{13} )}{4 ln ( 10 )}

2 ln (6) - 2 ln (3)

\frac{ln ( \frac{811}{100} )}{9 ln ( 10 )}

ln (\frac{m}{2 p x p y}) - \frac{1}{2} ln (p) x - \frac{1}{2} ln (\frac{m}{2 p y})

What is expand log_{7}(11sqrt(3*8)) ?
The solution to expand log_{7}(11sqrt(3*8)) is log_{7}(11)+1/2 log_{7}(24)