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How do you move e^x to the other side the equation?

+2 votes
I guess my instructor left out this basic algebra here...So I have the following:

8e^9t = 11e^8t

I want to know how to get one of those e^"t"s to the other side so I can solve for T. thanks.
asked Feb 4, 2013 in ALGEBRA 1 by anonymous Apprentice

1 Answer

+2 votes

8e9t = 11e8t

Divide each side by e8t.

8et = 11

Divide each side by 8.

et = 11/8.

Apply 'log' each side.

log(et) = log(11/8).

Natural logarithm formula and table log an = n log a, log e = 1 and log(11/8) ≈ 0.31845

t log(e) = 0.31845.

t(1) = 0.31845.

t = 0.31845.

answered Feb 4, 2013 by richardson Scholar

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