What is the answer to log_{5}(x)=520-log_{54}(x) ?

The answer to log_{5}(x)=520-log_{54}(x) is x=54^{(520log_{54}(5))/(1+log_{54)(5)}}

Solve for x: log_{5}(x)=520-log_{54}(x)

The solution is x=54^{(520log_{54}(5))/(1+log_{54)(5)}}

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lo g_{5} (x) = 520 - lo g_{54} (x)

x = 5 4^{\frac{520 l o g _{54} ( 5 )}{1 + l o g _{54} ( 5 )}}

Decimal Notation

x = 9.44984 E 258

Solution steps

lo g_{5} (x) = 520 - lo g_{54} (x)

Apply log rules

x = 5 4^{\frac{520 l o g _{54} ( 5 )}{1 + l o g _{54} ( 5 )}}

Verify Solutions:

x = 5 4^{\frac{520 l o g _{54} ( 5 )}{1 + l o g _{54} ( 5 )}}

True

The solution is

x = 5 4^{\frac{520 l o g _{54} ( 5 )}{1 + l o g _{54} ( 5 )}}

7 ln (3 x) + 1 = 3

x^{2 l o g_{10} (x)} = 10 x^{2}

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

lo g_{10} (x) + lo g_{10} (x + 9) = 1

lo g_{10} (x) - 1 = 0

What is the answer to log_{5}(x)=520-log_{54}(x) ?
The answer to log_{5}(x)=520-log_{54}(x) is x=54^{(520log_{54}(5))/(1+log_{54)(5)}}
Solve for x: log_{5}(x)=520-log_{54}(x)
The solution is x=54^{(520log_{54}(5))/(1+log_{54)(5)}}