- #1
ohhnana
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Homework Statement
Write the expression as a logarithm of a single quantity
3log2-1/3log(x²-1)
Homework Equations
none
The Attempt at a Solution
3log2-1/3log[(x+1)(x-1)]
Very relevant equations: [itex]a log(b)= log(b^a)[/itex]. [itex]log(a)+ log(b)= log(ab)[/itex].ohhnana said:Homework Statement
Write the expression as a logarithm of a single quantity
3log2-1/3log(x²-1)
Homework Equations
none
The Attempt at a Solution
3log2-1/3log[(x+1)(x-1)]
The logarithm of a single quantity is a mathematical operation that represents the power to which a fixed number, called the base, must be raised to produce that quantity.
Logarithms are used to simplify mathematical calculations, particularly in cases where numbers are very large or very small. They also have applications in various fields such as finance, physics, and biology.
Logarithms and exponents are inverse operations, meaning that they "undo" each other. The logarithm of a number is the exponent to which the base must be raised to get that number, and vice versa.
To solve a logarithmic equation, you can use the properties of logarithms to rewrite the expression into a simpler form. Then, you can solve for the variable using algebraic methods.
The most commonly used bases in logarithms are 10 (common logarithm), e (natural logarithm), and 2 (binary logarithm). However, any positive number can be used as the base in logarithmic calculations.