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Logarithmic equations Calculator

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Example
Created on 2024-06-20Asked by Samuel Ramirez (Solvelet student)
Solve the logarithmic equation log⁡2(x+3)=3 \log_2 (x+3) = 3 .

Solution

To solve the logarithmic equation log⁡2(x+3)=3 \log_2 (x+3) = 3 , follow these steps: 1. Rewrite the logarithmic equation in its exponential form: x+3=23 x + 3 = 2^3 2. Simplify the right-hand side: x+3=8 x + 3 = 8 3. Solve for x x : x=8−3 x = 8 - 3 x=5 x = 5 Therefore, the solution to the equation log⁡2(x+3)=3 \log_2 (x+3) = 3 is: x=5 x = 5 Solved on Solvelet with Basic AI Model
Some of the related questions asked by Victoria Wright on Solvelet
1. Solve the logarithmic equation log⁡2(x+3)=2 \log_2(x + 3) = 2 .2. Determine the solution set of the equation log⁡3(2x−1)=log⁡3(3x+2)\log_3(2x - 1) = \log_3(3x + 2).
DefinitionIt is a type of equation, here the unknown is in the form of log or ln (base 10 or base e) and we can apply the properties of log to solve the equation. You frequently must change log forms to exponential forms to answer questions using these equations. Eg: log2​(x)=3 ⇒ 23=x ⇒ x=8.
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