What is the answer to 2log_{10}(x)ln(10)=ln(4) ?

The answer to 2log_{10}(x)ln(10)=ln(4) is x=10^{(ln(2))/(ln(10))}

Solve for x: 2log_{10}(x)ln(10)=ln(4)

The solution is x=10^{(ln(2))/(ln(10))}

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2 lo g_{10} (x) ln (10) = ln (4)

x = 1 0^{\frac{l n ( 2 )}{l n ( 10 )}}

Decimal Notation

x = 2

Solution steps

2 lo g_{10} (x) ln (10) = ln (4)

Divide both sides by

2 ln (10)

lo g_{10} (x) = \frac{ln ( 4 )}{2 ln ( 10 )}

Apply log rules

x = 1 0^{\frac{l n ( 2 )}{l n ( 10 )}}

Verify Solutions:

x = 1 0^{\frac{l n ( 2 )}{l n ( 10 )}}

True

The solution is

x = 1 0^{\frac{l n ( 2 )}{l n ( 10 )}}

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

lo g_{10} (x + 4) = lo g_{10} (2 x - 1)

ln ((x - 2)^{2}) - ln (x) = 0

3 = lo g_{10} (x)

lo g_{10} (2 x) - lo g_{10} (x - 3) = 1

What is the answer to 2log_{10}(x)ln(10)=ln(4) ?
The answer to 2log_{10}(x)ln(10)=ln(4) is x=10^{(ln(2))/(ln(10))}
Solve for x: 2log_{10}(x)ln(10)=ln(4)
The solution is x=10^{(ln(2))/(ln(10))}