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Logarithms and Exponential Functions

Logarithms and Exponential Functions

Home Algebra II Logarithms and Exponential Functions Properties of Exponents and Logarithms
 Table of Contents

Properties of Exponents and Logarithms Examples

Example 1

Expand the following logarithmic equation:

log (16x2y2)1/3

Example 2

Combine the following logarithmic equations into one:

Example 3

Simplify the following exponential function to logarithmic form, then simplify irrationals to three decimal places and convert back to exponential form:

y = 102x7x

Example 4

Is y = log2 4x equivalent to 2y – 2 = x

If so, show how.

Example 5

Expand the following logarithmic equation:

Example 6

Expand the following equation: log 27x2

Example 7

Expand the following log equation, and write it using only base-10 logarithmic functions. Solve irrationals to 3 decimal places:

y = ln (4e)(3x + 1)

Example 8

Is
equivalent to 10y = 81x2?

If so, show how.

Example 9

Can the following expression be simplified: y = (log x)(log 2)?

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