What is log_{10}(y)+log_{10}(z) ?

The solution to log_{10}(y)+log_{10}(z) is log_{10}(yz)

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simplify log_{10}(y)+log_{10}(z)

simplify

lo g_{10} (y) + lo g_{10} (z)

lo g_{10} (yz)

Solution steps

lo g_{10} (y) + lo g_{10} (z)

Apply log rule:

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

lo g_{10} (y) + lo g_{10} (z) = lo g_{10} (yz)

= lo g_{10} (yz)

lo g_{4} (\frac{x - 2}{x ^{5}})

\frac{ln ( 4 )}{ln ( 4 ) - ln ( 5 )}

- (ln (6) - ln (5)) \cdot 5

lo g_{p} (\frac{3 ^{2} \cdot 4 ^{3} \cdot p ^{8} \cdot d ^{5}}{5 ^{4} \cdot 7 ^{3} \cdot p ^{4}})

f (x) = 2 ln (5 x^{2}) - ln (2 x^{2})

What is log_{10}(y)+log_{10}(z) ?
The solution to log_{10}(y)+log_{10}(z) is log_{10}(yz)