Product Rule of Logarithms - Concept

Concept Concept (1)

In mathematics, it can be useful limit the solution or even have multiple solutions for an inequality. For this we use a compound inequality, inequalities with multiple inequality signs. When solving compound inequalities, we use some of the same methods used in solving multi-step inequalities. The solutions to compound inequalities can be graphed on a number line, and can be expressed as intervals.

Sample Sample Problems (4)

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Product Rule of Logarithms - Problem 1

Simplify:

log8(64x)
Problem 1
How to use the product rule for logarithms to expand a log.
Product Rule of Logarithms - Problem 2

Simplify:

log210 + log2(7 + x)
Problem 2
How to use the product rule for logarithms to condense a sum.
Product Rule of Logarithms - Problem 3

logbxy = logbx + logby

Tip: let m = logbx and n = logby
Problem 3
How to prove the product rule for logarithms.
Product Rule of Logarithms - Problem 4
Problem 4
Expanding, condensing, and simplifying logarithmic expressions using the logarithmic product rule.