What is the answer to log_{10}(2x)=-3 ?

The answer to log_{10}(2x)=-3 is x= 1/2000

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log_{10}(2x)=-3

lo g_{10} (2 x) = - 3

x = \frac{1}{2000}

Solution steps

lo g_{10} (2 x) = - 3

Apply log rules

2 x = \frac{1}{1000}

Solve

2 x = \frac{1}{1000} : x = \frac{1}{2000}

x = \frac{1}{2000}

2 ln (x - 5) = 6

lo g_{5} (2 x + 6) = lo g_{5} (1 - x)

1.10395 = 0.6446 ln (x) - 0.5557

3 + ln (x - 4) = 2

lo g_{2} (x) = 1000000000

What is the answer to log_{10}(2x)=-3 ?
The answer to log_{10}(2x)=-3 is x= 1/2000
Solve for x: log_{10}(2x)=-3
The solution is x= 1/2000