Question

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

Answer 1

Answer:

Option C

Step-by-step explanation:

Given expression in the question is,

y = $7(2)^{\frac{t}{30}}$

To get the value of t,

$\frac{y}{7}=2^{\frac{t}{30}}$

Take the log on both the sides of the expression,

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

log($\frac{y}{7}$) = $\frac{t}{30}(\text{log2})$

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

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

Therefore, Option C will be the answer.