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

The answer to 10^{log_{5}(x)}=5 is x=5^{(ln(5))/(ln(10))}

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

The solution is x=5^{(ln(5))/(ln(10))}

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1 0^{l o g_{5} (x)} = 5

x = 5^{\frac{l n ( 5 )}{l n ( 10 )}}

Decimal Notation

x = 3.08005 \dots

Solution steps

1 0^{l o g_{5} (x)} = 5

Apply exponent rules

lo g_{5} (x) ln (10) = ln (5)

Solve

lo g_{5} (x) ln (10) = ln (5) : x = 5^{\frac{l n ( 5 )}{l n ( 10 )}}

x = 5^{\frac{l n ( 5 )}{l n ( 10 )}}

e^{- 2 x} - 2 x e^{- 2 x} = 0

(1 + x)^{\frac{72}{100 x}} = 2

x, 4^{3 x - 2} = 1 6^{2 x + 4}

2 7^{x + 1} = 3

4 = e^{3 k}

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