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Free Logarithms Calculator - Simplify logarithmic expressions using algebraic rules step-by-step
Enter the logarithmic expression below which you want to simplify. The logarithm calculator simplifies the given logarithmic expression by using the laws of logarithms. Click the blue arrow to submit. Choose "Simplify/Condense" from the topic selector and click to see the result in our Algebra Calculator!
To switch the base and argument, use the following rule. Other common logarithms to take note of include: This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.
30 Ιουλ 2024 · Find the logarithm with base 10 of the number 100. lg(100) = 2. Find the logarithm with base 10 of the number 2. lg(2) = 0.30103. Divide these values by one another: lg(100)/lg(2) = 2 / 0.30103 = 6.644. You can also skip steps 3-5 and input the number and base directly into the log calculator.
Certain logarithms can be easy to compute in your mind, e.g. log 10 (1000) = 3 since 10^3 = 1000. A general solution is to calculate logs using power series or the arithmetic-geometric mean. A pre-calculated table can also be of use if only a range of bases and logarithms are of interest on a daily basis.
Logarithmic Equations Calculator online with solution and steps. Detailed step by step solutions to your Logarithmic Equations problems with our math solver and online calculator.
log 2 (x) + log 2 (x-3) = 2. Solution: Using the product rule: log 2 (x∙(x-3)) = 2. Changing the logarithm form according to the logarithm definition: x∙(x-3) = 2 2. Or. x 2-3x-4 = 0. Solving the quadratic equation: x 1,2 = [3±√(9+16) ] / 2 = [3±5] / 2 = 4,-1. Since the logarithm is not defined for negative numbers, the answer is: x = 4 ...
