What is 0.5log_{10}(c)+5log_{10}(d) ?

The solution to 0.5log_{10}(c)+5log_{10}(d) is log_{10}(c^{0.5}d^5)

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simplify 0.5log_{10}(c)+5log_{10}(d)

simplify

0.5 lo g_{10} (c) + 5 lo g_{10} (d)

lo g_{10} (c^{0.5} d^{5})

Solution steps

0.5 lo g_{10} (c) + 5 lo g_{10} (d)

Apply log rule:

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

0.5 lo g_{10} (c) = lo g_{10} (c^{0.5})

= lo g_{10} (c^{0.5}) + 5 lo g_{10} (d)

Apply log rule:

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

5 lo g_{10} (d) = lo g_{10} (d^{5})

= lo g_{10} (c^{0.5}) + lo g_{10} (d^{5})

Apply log rule:

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

lo g_{10} (c^{0.5}) + lo g_{10} (d^{5}) = lo g_{10} (d^{5} c^{0.5})

= lo g_{10} (c^{0.5} d^{5})

lo g_{2} (\frac{1}{12}) + 3.4387

2 ln (2 x) - 3 ln (3 x)

- x (ln (5) - ln (3))

ln (ln (v)) + ln (y)

- ln (1.8 \cdot 10 e^{- 5})

What is 0.5log_{10}(c)+5log_{10}(d) ?
The solution to 0.5log_{10}(c)+5log_{10}(d) is log_{10}(c^{0.5}d^5)