Question

Find the value of the unknown.
162000=750×6^y

Answer 1

`\boxed{\textsf{y = 3}}`

Explanation:

`\textsf{We are asked to solve for y.}`

`\textsf{We should begin by \underline{simplifying} the equation.}`

`\textsf{First, begin by dividing 750 from \underline{both sides} of the equation.}\\`

`\Large\underline{\textsf{Divide:}}`

`\mathtt{(162000)/(750) = (750 * 6^y)/(750) .}`

`\mathtt{216=6^y}`

`\Large\underline{\textsf{Continue Dividing By 6:}}`

`\mathtt{(216)/(6) = 36 (^(y-1))}`

`\mathtt{(36)/(6) = 6 (^(y-2) )}`

`\Large\underline{\textsf{Identify y:}}`

`\mathtt{6^1 = 6. \ 6^(1+2) = 216. \ (6^3)}`

`\boxed{\textsf{y = 3}}`