What is the answer to log_{5}(x)+log_{3}(x)=1 ?

The answer to log_{5}(x)+log_{3}(x)=1 is x=5^{(log_{5}(3))/(log_{5)(3)+1}}

Solve for x: log_{5}(x)+log_{3}(x)=1

The solution is x=5^{(log_{5}(3))/(log_{5)(3)+1}}

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lo g_{5} (x) + lo g_{3} (x) = 1

x = 5^{\frac{l o g _{5} ( 3 )}{l o g _{5} ( 3 ) + 1}}

Decimal Notation

x = 1.92114 \dots

Solution steps

lo g_{5} (x) + lo g_{3} (x) = 1

Apply log rules

x = 5^{\frac{l o g _{5} ( 3 )}{l o g _{5} ( 3 ) + 1}}

Verify Solutions:

x = 5^{\frac{l o g _{5} ( 3 )}{l o g _{5} ( 3 ) + 1}}

True

The solution is

x = 5^{\frac{l o g _{5} ( 3 )}{l o g _{5} ( 3 ) + 1}}

1 = - ln (1 - x) - ln (x)

2 lo g_{x} (9) = 3 lo g_{4} (16)

lo g_{2} (5 x + 4) = 5

lo g_{6} (x^{3}) - 2 lo g_{x} (6) = 1

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

What is the answer to log_{5}(x)+log_{3}(x)=1 ?
The answer to log_{5}(x)+log_{3}(x)=1 is x=5^{(log_{5}(3))/(log_{5)(3)+1}}
Solve for x: log_{5}(x)+log_{3}(x)=1
The solution is x=5^{(log_{5}(3))/(log_{5)(3)+1}}