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Expanding Logarithms Calculator

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Example
Created on 2024-06-20Asked by Aria Hernandez (Solvelet student)
Expand log⁡(a⋅b) \log(a \cdot b) using properties of logarithms.

Solution

To expand log⁡(a⋅b) \log(a \cdot b) using properties of logarithms, we use the product rule: log⁡(a⋅b)=log⁡(a)+log⁡(b). \log(a \cdot b) = \log(a) + \log(b). Solved on Solvelet with Basic AI Model
Some of the related questions asked by Camila Anderson on Solvelet
1. Expand log⁡5(3x) \log_5(3x) .2. Expand log⁡(2xy//(x−y)) \log(2xy//(x - y)) .
DefinitionLogarithmic expression expands help by simplifying complex logarithmic expressions. It allows breaking these expressions into simple and separate expressions and uses the product rule, quotient rule, and power rule. This algebraic manipulation of logarithmic expressions provides an expanded expression. One, that is often a sum or difference of logarithms of separate terms. Logarithmic expressions expand helps in solving equations, simplifying expressions, and writing equations in the same form. Example: The product rule for logarithm states that logb​(xy)=logb​x+logb​y, so logb​y2=2logb​x. Learn & solve Expanding Logarithms related problems with SolveletAI advanced step-by-step solutions. Generated instantly, learn and get explanations of the problem with Expanding Logarithms calculator at SolveletAI.
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