What is simplify-log_{10}(1.3*10^6) ?

The solution to simplify-log_{10}(1.3*10^6) is -log_{10}(1.3)-6

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simplify-log_{10}(1.3*10^6)

simplify

- lo g_{10} (1.3 \cdot 1 0^{6})

- lo g_{10} (1.3) - 6

Decimal Notation

- 6.11394 \dots

Solution steps

- lo g_{10} (1.3 \cdot 1 0^{6})

Apply log rule:

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

lo g_{10} (1.3 \cdot 1 0^{6}) = lo g_{10} (1.3) + lo g_{10} (1 0^{6})

= - (lo g_{10} (1.3) + lo g_{10} (1 0^{6}))

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{10} (1 0^{6}) = 6 lo g_{10} (10)

= - (lo g_{10} (1.3) + 6 lo g_{10} (10))

6 lo g_{10} (10) = 6

= - (lo g_{10} (1.3) + 6)

Distribute parentheses

= - (lo g_{10} (1.3)) - (6)

Apply minus-plus rules

+ (- a) = - a

= - lo g_{10} (1.3) - 6

\frac{6 \cdot 0.45}{6 - θ} + ln (\frac{1 \cdot 0.55}{1 - θ})

lo g_{10} (1000000 x)

ln (\frac{273}{263})

- lo g_{10} (1.48 \cdot 1 0^{- 7})

ln (x^{11} 4 - x)

What is simplify-log_{10}(1.3*10^6) ?
The solution to simplify-log_{10}(1.3*10^6) is -log_{10}(1.3)-6