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Logarithms and Exponential Functions

Logarithms and Exponential Functions

Exponential Functions Exercises

Example 1

Evaluate exponential function y = 3x + 2x – 4 – 2x – 2 for x = 4 without using a calculator

Example 2

Evaluate exponential function y = 1000.75x101.5x – 3 for x = 2 without using a calculator

Example 3

Evaluate exponential equation exy = e2x + 4 for x = 5 to three decimal places.

Example 4

Solve for x in the exponential equation: 32x + 1 = 9x

Example 5

Simplify the following equation: y = 16/(4x)

Example 6

Solve for x in the exponential equation: 9-5x917x = 100 to three decimal places.

Example 7

Solve the exponential equation for x to three decimal places: 1500(1.73)2x = 2500

Example 8

Solve for x in the exponential equation:

Example 9

Solve for x in the exponential equation: e4x = e9x – 4

Example 10

Simplify the following equation: 10xy = 1004xy – 2

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