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For logarithmic equations, logb(x) = y log b (x) = y is equivalent to by = x b y = x such that x> 0 x> 0, b> 0 b> 0, and b ≠ 1 b ≠ 1. In this case, b = 2 b = 2, x = 8 x = 8, and y = 3 y = 3. Substitute the values of b b, x x, and y y into the equation by = x b y = x.
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Exponents worksheets, including exponents with whole numbers, fractions and decimals as a base, negative bases, zero exponents, negative exponents and equations with exponents. No login required.
The formula y = logb x is said to be written in logarithmic form and x = by is said to be written in exponential form. In working with these problems it is most important to remember that y = logb x and x = by are equivalent statements. Example 1 : If log4 x = 2 then x = 42 x = 16 Example 2 : We have 25 = 52. Then log 5 25 = 2. Example 3 : If ...
Name: ___Math Worksheets _____ Date: _____ Created by: Effortless Math Education www.EffortlessMath.com 200 Rewriting Logarithms Rewrite each equation in exponential form. 1) H K 5 25=2 2) H K 4 256=4 3) H K 6 36=2 4) H K 5 125=3 5) H K 7 49=2 6) H K 6 216=3 7) H K 2 16=4 8) H K 3 81=4 9) H K 10 100=2 10) H K 7 343=3 125
Given that log 2 = x, log 3 = y and log 7 = z, express the following expressions in terms of x, y, and z. 10. Solve the following equations. 11. Draw the graph of each of the following logarithmic functions, and analyze each of them completely. 12. Find the inverse of each of the following functions.
6th grade exponents worksheets are used for giving students a clear understanding of the application of exponential terms. These worksheets consist of questions that involve solving mathematical expressions consisting of exponents, word problems, and graphical interpretations.
