What is log_{7}(8yz) ?

The solution to log_{7}(8yz) is 3log_{7}(2)+log_{7}(y)+log_{7}(z)

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simplify log_{7}(8yz)

simplify

lo g_{7} (8 yz)

3 lo g_{7} (2) + lo g_{7} (y) + lo g_{7} (z)

Solution steps

lo g_{7} (8 yz)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{7} (8 yz) = lo g_{7} (8) + lo g_{7} (y) + lo g_{7} (z)

= lo g_{7} (8) + lo g_{7} (y) + lo g_{7} (z)

lo g_{7} (8) = 3 lo g_{7} (2)

= 3 lo g_{7} (2) + lo g_{7} (y) + lo g_{7} (z)

lo g_{11} (\frac{11}{y})

3.13 + lo g_{10} (\frac{[ 0.5 ]}{[ 0.3 ]})

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

4 lo g_{2} (x) - \frac{1}{3} lo g_{2} (x^{2} + 1)

ln (ln ((x + 1)^{c o s (4 x)}))

What is log_{7}(8yz) ?
The solution to log_{7}(8yz) is 3log_{7}(2)+log_{7}(y)+log_{7}(z)