What is the answer to 5log_{4}(64k)=18 ?

The answer to 5log_{4}(64k)=18 is k=4^{3/5}

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5log_{4}(64k)=18

5 lo g_{4} (64 k) = 18

k = 4^{\frac{3}{5}}

Decimal Notation

k = 2.29739 \dots

Solution steps

5 lo g_{4} (64 k) = 18

Divide both sides by

5

lo g_{4} (64 k) = \frac{18}{5}

Apply log rules

64 k = 64 \cdot 4^{\frac{3}{5}}

Solve

64 k = 64 \cdot 4^{\frac{3}{5}} : k = 4^{\frac{3}{5}}

k = 4^{\frac{3}{5}}

Verify Solutions:

k = 4^{\frac{3}{5}}

True

The solution is

k = 4^{\frac{3}{5}}

lo g_{5} (x) + 2 lo g_{x} (5) = 3

lo g_{e} (2 x) = 1

lo g_{e} (2 x) = 2

lo g_{x + 2} (3 x^{2} - 12) = 2

75 = 10 lo g_{10} (x) + 120

What is the answer to 5log_{4}(64k)=18 ?
The answer to 5log_{4}(64k)=18 is k=4^{3/5}
Solve for k: 5log_{4}(64k)=18
The solution is k=4^{3/5}