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Write in Exponential Form log base 2 of 8=3. log2 (8) = 3 log 2 (8) = 3. 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. b = 2 b = 2. x = 8 x = 8. y = 3 y = 3.
Write in exponential form. log2(1/8) = -3. 2-3 = 1/8. 21/8 = -3. -32 = 1/8.
You can go back and forth between y = b x and x = log b y. 'b' stands for the base. 'x' is the exponent. For log 2 8 = 3, the base is 2. The number that the log is equal to, 3, will be the exponent. The number we're taking the log of, 8, is what the exponent will be equal to.
Worksheet by Kuta Software LLC Kuta Software - Infinite Precalculus Exponents and Logarithms Name_____ Date_____ Period____ Rewrite each equation in exponential form. 1) log 2) log 3) log 4) log Rewrite each equation in logarithmic form. 5) 6)
Rewrite each equation in exponential form. 1) ... −23=1 8 30) 3−4=1 81 31) 5−2=1 25 32) −3=1 216 33) 4−3=1 64 34) 2−6=1 64. Name: ___Math Worksheets _____ Date: _____ Created by: Effortless Math Education www.EffortlessMath.com 201 Answers Rewriting Logarithms 1) 52=25 1
To solve a logarithmic equations use the esxponents rules to isolate logarithmic expressions with the same base. Set the arguments equal to each other, solve the equation and check your answer. A logarithmic equation is an equation that involves the logarithm of an expression containing a varaible. The three types of logarithms are common ...
An exponential function is a function with the general form _______________, where x is a real number, a 0 , b 0 , and b 1 . When _______________, b is the growth factor. When _______________, b is the decay factor. An exponential function can model growth.
