What is the answer to log_{5}(x^4)+log_{5}(x)=8 ?

The answer to log_{5}(x^4)+log_{5}(x)=8 is x=5*5^{3/5}

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log_{5}(x^4)+log_{5}(x)=8

lo g_{5} (x^{4}) + lo g_{5} (x) = 8

x = 5 \cdot 5^{\frac{3}{5}}

Decimal Notation

x = 13.13263 \dots

Solution steps

lo g_{5} (x^{4}) + lo g_{5} (x) = 8

Apply log rules

x = 5 \cdot 5^{\frac{3}{5}}

Verify Solutions:

x = 5 \cdot 5^{\frac{3}{5}}

True

The solution is

x = 5 \cdot 5^{\frac{3}{5}}

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2 lo g_{3} (3 x - 2) = 2

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3.28 = 11.6 \cdot ln (c)

10 lo g_{7} (x - 3) = 66

What is the answer to log_{5}(x^4)+log_{5}(x)=8 ?
The answer to log_{5}(x^4)+log_{5}(x)=8 is x=5*5^{3/5}
Solve for x: log_{5}(x^4)+log_{5}(x)=8
The solution is x=5*5^{3/5}