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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.
Algebra. Evaluate log base 2 of 8. log2 (8) log 2 (8) Rewrite as an equation. log2(8) = x log 2 (8) = x. Rewrite log2 (8) = x log 2 (8) = x in exponential form using the definition of a logarithm. If x x and b b are positive real numbers and b b does not equal 1 1, then logb (x) = y log b (x) = y is equivalent to by = x b y = x. 2x = 8 2 x = 8.
This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.
The logarithm of 8 with base 2 can be written as log2 8 = 3, which tells us that 2 raised to the power of 3 is equal to 8. One of the most common logarithmic functions is the natural logarithm, denoted as ln.
Examples. \left. \begin {cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end {cases} \right. Solve your math problems using our free math solver with step-by-step solutions. Our math solver supports basic math, pre-algebra, algebra, trigonometry, calculus and more.
log2 (8) Natural Language. Math Input. Extended Keyboard. Upload. Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music….
