What is the answer to 2log_{2}(x^5)-log_{2}(x)=6 ?

The answer to 2log_{2}(x^5)-log_{2}(x)=6 is x=2^{2/3}

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2log_{2}(x^5)-log_{2}(x)=6

2 lo g_{2} (x^{5}) - lo g_{2} (x) = 6

x = 2^{\frac{2}{3}}

Decimal Notation

x = 1.58740 \dots

Solution steps

2 lo g_{2} (x^{5}) - lo g_{2} (x) = 6

Apply log rules

x = 2^{\frac{2}{3}}

Verify Solutions:

x = 2^{\frac{2}{3}}

True

The solution is

x = 2^{\frac{2}{3}}

- 1.258288333 = ln (x)

x, ln (x) = 3 ln (y) + 3 c

lo g_{a} (5 y - 4) - lo g_{a} (2 y) = 3

- 4 lo g_{3} (3 x + 8) - 2 = - 2

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

What is the answer to 2log_{2}(x^5)-log_{2}(x)=6 ?
The answer to 2log_{2}(x^5)-log_{2}(x)=6 is x=2^{2/3}
Solve for x: 2log_{2}(x^5)-log_{2}(x)=6
The solution is x=2^{2/3}