A logarithm is a mathematical operation that is the inverse of exponentiation. It is used to solve equations involving exponential functions.
A root expression is a mathematical expression that involves taking the root of a number. The most common roots are square roots (√), cube roots (∛), and nth roots (ⁿ√).
To simplify a logarithm, you can use the properties of logarithms, such as the product rule, quotient rule, and power rule. These rules allow you to rewrite the logarithm in a simpler form.
A logarithm is the inverse of an exponent, while a root expression involves finding the root of a number. In other words, a logarithm tells you what power you need to raise a base number to get a certain value, while a root expression tells you what number multiplied by itself a certain number of times will equal the given value.
Sure, for the logarithm expression log28, we can use the power rule to rewrite it as log2(23). Then, using the definition of a logarithm, we can simplify it to 3, since 23 equals 8. For the root expression √36, we can rewrite it as 361/2, and using the power rule again, we can simplify it to 6.