Question

Y=7×2^t/30 what is the equation solved for t​

Answer 1

Option C

Explanation:

Given expression in the question is,

y =
`7(2)^{(t)/(30)}`

To get the value of t,

`(y)/(7)=2^{(t)/(30)}`

Take the log on both the sides of the expression,

log(
`(y)/(7)`) =
`\text{log}[(2^{(t)/(30)})]`

log(
`(y)/(7)`) =
`(t)/(30)(\text{log2})`

t =
`30(\frac{\text{log}(y)/(7)}{\text{log}2} )`

t =
`30[\text{log}_2((y)/(7))]` [Since,
`\frac{\text{loga}}{\text{logb}}=\text{log}_a(b)}`]

Therefore, Option C will be the answer.