What is the answer to solvefor y,log_{8}(x)-5log_{8}(y)= 5/3 ?

The answer to solvefor y,log_{8}(x)-5log_{8}(y)= 5/3 is y=8^{-(5-3log_{8}(x))/(15)}

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solvefor y,log_{8}(x)-5log_{8}(y)= 5/3

solve for

y, lo g_{8} (x) - 5 lo g_{8} (y) = \frac{5}{3}

y = 8^{- \frac{5 - 3 l o g _{8} ( x )}{15}}

Solution steps

lo g_{8} (x) - 5 lo g_{8} (y) = \frac{5}{3}

Move

lo g_{8} (x)

to the right side

- 5 lo g_{8} (y) = \frac{5}{3} - lo g_{8} (x)

Divide both sides by

- 5

lo g_{8} (y) = - \frac{5 - 3 lo g _{8} ( x )}{15}

Apply log rules

y = 8^{- \frac{5 - 3 l o g _{8} ( x )}{15}}

Verify Solutions:

y = 8^{- \frac{5 - 3 l o g _{8} ( x )}{15}}

True

The solution is

y = 8^{- \frac{5 - 3 l o g _{8} ( x )}{15}}

lo g_{5} (x^{2} - 2 x + 5) = 1

lo g_{x - 5} (49) = 2

(lo g_{2} (x))^{2} - 4 = 0

lo g_{x} (12) = \frac{1}{2}

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

What is the answer to solvefor y,log_{8}(x)-5log_{8}(y)= 5/3 ?
The answer to solvefor y,log_{8}(x)-5log_{8}(y)= 5/3 is y=8^{-(5-3log_{8}(x))/(15)}