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Working with Exponents and Logarithms. What is an Exponent? What is a Logarithm? A Logarithm goes the other way. It asks the question "what exponent produced this?": And answers it like this: In that example: The Exponent takes 2 and 3 and gives 8 (2, used 3 times in a multiplication, makes 8)
Exponents, Roots and Logarithms Working with Exponents and Logarithms Algebra Index. Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.
The logarithm of an exponential number where its base is the same as the base of the log is equal to the exponent. Raising the logarithm of a number to its base is equal to the number. Learn the eight (8) log rules or laws to help you evaluate, expand, condense, and solve logarithmic equations.
Remember when working with either logarithms or exponential functions that they are strongly tied together: when solving a logarithmic statement we need to use exponents and when solving exponential statements we need to use logarithms.
Exponential Form. y = ax. Logarithmic Form. log a y = x. Remember: The logarithm is the exponent. The following diagram shows the relationship between logarithm and exponent. Scroll down the page for more examples and solutions for logarithms and exponents. Example: Convert the following exponential form to the logarithmic form: a) 4 2 = 16.
exponent: The power to which a number, symbol, or expression is to be raised. For example, the [latex]3[/latex] in [latex]x^3[/latex]. logarithm: The logarithm of a number is the exponent by which another fixed value, the base, has to be raised to produce that number.
25 Μαΐ 2021 · Use logarithms to solve exponential equations. Use the definition of a logarithm to solve logarithmic equations. Use the one-to-one property of logarithms to solve logarithmic equations. Solve applied problems involving exponential and logarithmic equations.