What is the answer to log_{5}(x)+log_{7}(x)=11 ?

The answer to log_{5}(x)+log_{7}(x)=11 is x=7^{(11log_{7}(5))/(1+log_{7)(5)}}

Solve for x: log_{5}(x)+log_{7}(x)=11

The solution is x=7^{(11log_{7}(5))/(1+log_{7)(5)}}

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lo g_{5} (x) + lo g_{7} (x) = 11

x = 7^{\frac{11 l o g _{7} ( 5 )}{1 + l o g _{7} ( 5 )}}

Decimal Notation

x = 16149.40428 \dots

Solution steps

lo g_{5} (x) + lo g_{7} (x) = 11

Apply log rules

x = 7^{\frac{11 l o g _{7} ( 5 )}{1 + l o g _{7} ( 5 )}}

Verify Solutions:

x = 7^{\frac{11 l o g _{7} ( 5 )}{1 + l o g _{7} ( 5 )}}

True

The solution is

x = 7^{\frac{11 l o g _{7} ( 5 )}{1 + l o g _{7} ( 5 )}}

ln (x) = 1.6873

lo g_{10} (8) + lo g_{10} (X) = 1

4 = lo g_{10} (g) 6561

lo g_{10} (v) - lo g_{10} (4) = 1

lo g_{10} (x^{2}) = 16

What is the answer to log_{5}(x)+log_{7}(x)=11 ?
The answer to log_{5}(x)+log_{7}(x)=11 is x=7^{(11log_{7}(5))/(1+log_{7)(5)}}
Solve for x: log_{5}(x)+log_{7}(x)=11
The solution is x=7^{(11log_{7}(5))/(1+log_{7)(5)}}