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

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

Solve for x: log_{2}(x)-3log_{10}(x)=2

The solution is x=10^{(2log_{10}(2))/(1-3log_{10)(2)}}

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

x = 1 0^{\frac{2 l o g _{10} ( 2 )}{1 - 3 l o g _{10} ( 2 )}}

Decimal

x = 1631426.22404 \dots

Solution steps

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

Apply log rules

x = 1 0^{\frac{2 l o g _{10} ( 2 )}{1 - 3 l o g _{10} ( 2 )}}

Verify Solutions:

x = 1 0^{\frac{2 l o g _{10} ( 2 )}{1 - 3 l o g _{10} ( 2 )}}

True

The solution is

x = 1 0^{\frac{2 l o g _{10} ( 2 )}{1 - 3 l o g _{10} ( 2 )}}

lo g_{5} (x) = 0

lo g_{5} (1 - 4 x) = 2

lo g_{3} (8 - 5 x) = 2

lo g_{x} (7) = - \frac{1}{2}

lo g_{10} (x) + lo g_{10} (x + 3) = 9

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