What is log_{10}(5^6)-log_{10}(5^{150}) ?

The solution to log_{10}(5^6)-log_{10}(5^{150}) is -144log_{10}(5)

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simplify log_{10}(5^6)-log_{10}(5^{150})

simplify

lo g_{10} (5^{6}) - lo g_{10} (5^{150})

- 144 lo g_{10} (5)

Decimal Notation

- 100.65168 \dots

Solution steps

lo g_{10} (5^{6}) - lo g_{10} (5^{150})

lo g_{10} (5^{6}) = 6 lo g_{10} (5)

lo g_{10} (5^{150}) = 150 lo g_{10} (5)

= 6 lo g_{10} (5) - 150 lo g_{10} (5)

Add similar elements:

6 lo g_{10} (5) - 150 lo g_{10} (5) = - 144 lo g_{10} (5)

= - 144 lo g_{10} (5)

lo g_{2} (\frac{a}{4 b ^{2}})

- 65 ln (\frac{40}{13})

- lo g_{10} (\frac{0.00174 \cdot 660 + 10 \cdot 2.35}{670})

(lo g_{c} (x) - lo g_{c} (y)) + 2 lo g_{c} (v)

ln (\frac{1}{2.7})

What is log_{10}(5^6)-log_{10}(5^{150}) ?
The solution to log_{10}(5^6)-log_{10}(5^{150}) is -144log_{10}(5)