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

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

Solve for x: log_{5}(x)+log_{10}(x^5)=2

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

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lo g_{5} (x) + lo g_{10} (x^{5}) = 2

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

Decimal Notation

x = 2.04648 \dots

Solution steps

lo g_{5} (x) + lo g_{10} (x^{5}) = 2

Apply log rules

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

Verify Solutions:

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

True

The solution is

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

lo g_{10} (x) (\frac{1}{8}) = 3

4.87 = - lo g_{10} (x)

ln (x^{2}) + 2 = ln (x^{4})

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

lo g_{10} (x) (32) = \frac{1}{4}

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