What is the answer to log_{2}(x)+3log_{10}(x)+2=0 ?

The answer to log_{2}(x)+3log_{10}(x)+2=0 is x= 1/(10^{(2log_{10)(2))/(1+3log_{10)(2)}}}

Solve for x: log_{2}(x)+3log_{10}(x)+2=0

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

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

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

Decimal Notation

x = 0.48265 \dots

Solution steps

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

Apply log rules

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

Verify Solutions:

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

True

The solution is

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

ln (x + 4) + ln (x - 2) = 2 ln (x)

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

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

ln (5 x - 6) = 3

lo g_{\frac{1}{2}} (- x + 4) = - 2

What is the answer to log_{2}(x)+3log_{10}(x)+2=0 ?
The answer to log_{2}(x)+3log_{10}(x)+2=0 is x= 1/(10^{(2log_{10)(2))/(1+3log_{10)(2)}}}
Solve for x: log_{2}(x)+3log_{10}(x)+2=0
The solution is x= 1/(10^{(2log_{10)(2))/(1+3log_{10)(2)}}}