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Logarithms and Exponential Functions

Logarithms and Exponential Functions

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

Properties of Exponents and Logarithms Examples

Example 1

Expand the following logarithmic expression:

log(16x2y2)1/3

Example 2

Combine the following logarithmic expression into a single log:

3(log 4 + log a + log b)

Example 3

Is y = log2(4x) equivalent to 2(y – 2) = x? If so, show how.

Example 4

Expand the following logarithmic expression:

Example 5

Expand the following expression:

log(27x2)

Example 6

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 7

Is equivalent to 10y = 81x2? If so, show how.

Example 8

Can we simplify the equation y = (log x)(log 2) any further?

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