Question 195621
{{{log(y,(8))=3/4}}} Start with the given equation.



*[Tex \LARGE y^{\frac{3}{4}}=8] Rewrite the equation using the property: {{{log(b,(x))=y}}} ====> {{{b^y=x}}}



*[Tex \LARGE \sqrt[3]{y^{\frac{3}{4}}}=\sqrt[3]{8}] Take the cube root of both sides



*[Tex \LARGE y^{\frac{1}{4}}=\sqrt[3]{8}] Take the cube root of *[Tex \LARGE y^{\frac{3}{4}}] to get *[Tex \LARGE y^{\frac{1}{4}}]



*[Tex \LARGE y^{\frac{1}{4}}=2] Take the cube root of 8 to get 2
 


*[Tex \LARGE \left(y^{\frac{1}{4}}\right)^{4}=2^4] Raise both sides to the 4th power



*[Tex \LARGE y=2^4] Raise *[Tex \LARGE y^{\frac{1}{4}}] to the 4th power to get "y"



*[Tex \LARGE y=16] Raise 2 to the 4th power to get 16.