What is the answer to log_{2}(x)-5log_{10}(x)=84 ?

The answer to log_{2}(x)-5log_{10}(x)=84 is x=10^{(84log_{10}(2))/(1-5log_{10)(2)}}

Solve for x: log_{2}(x)-5log_{10}(x)=84

The solution is x=10^{(84log_{10}(2))/(1-5log_{10)(2)}}

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lo g_{2} (x) - 5 lo g_{10} (x) = 84

x = 1 0^{\frac{84 l o g _{10} ( 2 )}{1 - 5 l o g _{10} ( 2 )}}

Decimal

x = 8.76093 E - 51

Solution steps

lo g_{2} (x) - 5 lo g_{10} (x) = 84

Apply log rules

x = 1 0^{\frac{84 l o g _{10} ( 2 )}{1 - 5 l o g _{10} ( 2 )}}

Verify Solutions:

x = 1 0^{\frac{84 l o g _{10} ( 2 )}{1 - 5 l o g _{10} ( 2 )}}

True

The solution is

x = 1 0^{\frac{84 l o g _{10} ( 2 )}{1 - 5 l o g _{10} ( 2 )}}

lo g_{2} (a) = 5

lo g_{10} (y) = 3

ln (x + 1) + ln (x - 1) = ln (8)

3 lo g_{10} (4 x) - 2 lo g_{10} (2) = 0

lo g_{2} (4 x + 4) + lo g_{2} (x + 1) = 0

What is the answer to log_{2}(x)-5log_{10}(x)=84 ?
The answer to log_{2}(x)-5log_{10}(x)=84 is x=10^{(84log_{10}(2))/(1-5log_{10)(2)}}
Solve for x: log_{2}(x)-5log_{10}(x)=84
The solution is x=10^{(84log_{10}(2))/(1-5log_{10)(2)}}