# Exponents and Logarithms Problems

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Graph y = 2^-x for -2 <= x <= 2.

Solve for x: 3^4x-5 = 27.

Suppose $1000 is invested at 6 percent annual interest, compounded monthly. How many dollars wil be in the account after:

a) one year?

b) five years?

Write in exponential form (log_9)(27) = 3/2.

Write in logarithmic form: 1296 = 6^4.

At 5% interest compounded yearly, how many years foes it take for your money, say $1, to quadruple? [Hint: Solve (1.05^t) = 4 for t by taking a logarithm.]

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#### Solution Summary

This solution shows how to graph and solve exponential equations and convert between exponential and logarithmic form. This solution is provided in an attached Word document and two attached .jpg documents.

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