What is the answer to log_{10}(x*10^{-3})=2.85 ?

The answer to log_{10}(x*10^{-3})=2.85 is x=1000*10^{2.85}

Solve for x: log_{10}(x*10^{-3})=2.85

The solution is x=1000*10^{2.85}

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lo g_{10} (x \cdot 1 0^{- 3}) = 2.85

x = 1000 \cdot 1 0^{2.85}

Decimal Notation

x = 707945.78438 \dots

Solution steps

lo g_{10} (x \cdot 1 0^{- 3}) = 2.85

Apply log rules

\frac{1}{1000} x = 1 0^{2.85}

Solve

\frac{1}{1000} x = 1 0^{2.85} : x = 1000 \cdot 1 0^{2.85}

x = 1000 \cdot 1 0^{2.85}

x (1 - ln (x)) = 0

lo g_{2} (x) = 3.6 \cdot 1 0^{13}

5 = \frac{1}{3} lo g_{10} (x) + 3

lo g_{x} (\frac{16}{625}) = 4

ln (4 x) - ln (x^{6}) = ln (2)

What is the answer to log_{10}(x*10^{-3})=2.85 ?
The answer to log_{10}(x*10^{-3})=2.85 is x=1000*10^{2.85}
Solve for x: log_{10}(x*10^{-3})=2.85
The solution is x=1000*10^{2.85}