Solve each equation for the other variable. v=8(2.5)^{t}

Anonym

Anonym

Answered question

2021-09-17

Solve each equation for the other variable.
v=8(2.5)t

Answer & Explanation

hosentak

hosentak

Skilled2021-09-18Added 100 answers

Step 1
Given equation:
v=8(2.5)t
Step 2
Now,
Solving for variable t
v=8(2.5)t
(2.5)t=v8
Taking natural logarithm both sides:
ln[(2.5)t]=ln[v8]
Apply log rule: ln(xy)=yln(x)
So,
ln[(2.5)t]=ln[v8]
tln(2.5)=ln(v8)
t=ln(v8)ln(2.5)
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-27Added 2605 answers

Answer is given below (on video)

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