khloe rich\nquestion 1\nsolve for $x$.\n$\\frac{1}{2}\\log_{8}(x)=4\\log_{8}(3)$\nif there are no solutions…

khloe rich\nquestion 1\nsolve for $x$.\n$\\frac{1}{2}\\log_{8}(x)=4\\log_{8}(3)$\nif there are no solutions, enter none. separate multiple solutions with a comma, if necessary.\ncheck answer

khloe rich\nquestion 1\nsolve for $x$.\n$\\frac{1}{2}\\log_{8}(x)=4\\log_{8}(3)$\nif there are no solutions, enter none. separate multiple solutions with a comma, if necessary.\ncheck answer

Answer

Explanation:

Step1: Apply log power rule

$\log_{8}(x^\frac{1}{2}) = \log_{8}(3^4)$

Step2: Equate log arguments

$x^\frac{1}{2} = 3^4$

Step3: Calculate right-hand side

$x^\frac{1}{2} = 81$

Step4: Square both sides

$x = 81^2$

Step5: Compute final value

$x = 6561$

Answer:

$6561$