What is the answer to log_{2}(x)-5log_{10}(x)+6=0 ?

The answer to log_{2}(x)-5log_{10}(x)+6=0 is x= 1/(10^{(6log_{10)(2))/(1-5log_{10)(2)}}}

Solve for x: log_{2}(x)-5log_{10}(x)+6=0

The solution is x= 1/(10^{(6log_{10)(2))/(1-5log_{10)(2)}}}

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lo g_{2} (x) - 5 lo g_{10} (x) + 6 = 0

x = \frac{1}{1 0 ^{\frac{6 l o g _{10} ( 2 )}{1 - 5 l o g _{10} ( 2 )}}}

Decimal Notation

x = 3762.98183 \dots

Solution steps

lo g_{2} (x) - 5 lo g_{10} (x) + 6 = 0

Apply log rules

x = \frac{1}{1 0 ^{\frac{6 l o g _{10} ( 2 )}{1 - 5 l o g _{10} ( 2 )}}}

Verify Solutions:

x = \frac{1}{1 0 ^{\frac{6 l o g _{10} ( 2 )}{1 - 5 l o g _{10} ( 2 )}}}

True

The solution is

x = \frac{1}{1 0 ^{\frac{6 l o g _{10} ( 2 )}{1 - 5 l o g _{10} ( 2 )}}}

lo g_{2} (x + 5) = 5

lo g_{5} (x + 12) - lo g_{5} (x + 2) = 1

6 ln (7 x + 6) - 14 = 10

lo g_{3} (9 x - 5) = lo g_{3} (5 x - 7)

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

What is the answer to log_{2}(x)-5log_{10}(x)+6=0 ?
The answer to log_{2}(x)-5log_{10}(x)+6=0 is x= 1/(10^{(6log_{10)(2))/(1-5log_{10)(2)}}}
Solve for x: log_{2}(x)-5log_{10}(x)+6=0
The solution is x= 1/(10^{(6log_{10)(2))/(1-5log_{10)(2)}}}