<PRE><B>Question 1106244</B>
Solve for t algebraically. Round answers to the nearest hundredth.

100(1/2)^t/5 = 20

So,I know you divide the whole equation by 100,which leaves me with,

(1/2)^t/5 = 1/5

Then I take the log of each side, my book tells me to use ln, so I end up with

ln((1/2)^t/5) = ln 1/5

Move t/5 over, now I get

t/5 ln(1/2) = ln(1/5)
======================

t/5 = ln(1/5)/ln(1/2)

Multiply everything by 5
t = 5ln(1/5)/ln(1/2)
Then use a calculator.
t =~ 11.61



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