Question

Can someone help me solve for t in this equation?

Answer 1

\[100=108(\sqrt{69}/9)^t\]

Answer 2

What have you done so far?

Answer 3

Do you know logs?

Answer 4

I do but i've always had a problem with them so im stuck here it was a newton law of cooling equation that i got down to this and forgot how to solve for t

Answer 5

would you just take the log of both sides or what's the first step

Answer 6

It's pretty simple if you apply logarithmic rules:
\[\log(100/108)=t(\log((\sqrt69)/9))\]

Answer 7

Then you just divide the left side by \[\log((\sqrt69)/9)\]

Answer 8

to get t

Answer 9

Makes sense I just need to brush up on my log rules I was most confused by just the first step.

Answer 10

Okay, glad to help then :)

Answer 11

when you plugged it in did you get .95?

Answer 12

yeah it should give around 0.95996

Answer 13

I plugged it back into the equation afterwards and the left side and right sides equaled each other too.