Question

Let f(t)=3(2)^t. Find the value m such that f(m)=500.

Answer 1

Please Help! I'm incredibly lost right now.

Answer 2

you need to find the value of t that will give 500

so equate the 2 equations

500 = 3(2)^t

500/3 = 2^t

take the logs of both sides , log 10 or log e

I'll use base e

ln(500/3) = ln(2^t)

using log laws... the right hand side can be rewritten

ln(500/3) = t x ln(2)

so t = ln(500/3)/ln(2)

evaluating and you should get the correct answer