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Logarithms and Exponential Functions

Logarithms and Exponential Functions

Exponential Functions Exercises

Example 1

Evaluate y = 3x + 2(x – 4) – 2(x – 2) when x = 4 without using a calculator.

Example 2

Evaluate y = 1000.75x(101.5x – 3) when x = 2 without using a calculator.

Example 3

Solve for x:

ex = e(2x + 4)

Example 4

Solve for x:

3(3x + 1) = 9x

Example 5

Solve for x:

256 = 42x

Example 6

Solve for x and round your answer to three decimal places:

9-5x(917x) = 81

Example 7

Solve for x:

150(2)2x = 300

Example 8

Solve for x:

Example 9

Solve for x:

e4x = e(9x – 4)

Example 10

Solve for y:

10xy = 100(4xy – 2)

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