Review of Basics

Alan Macon
Note by Alan Macon, updated more than 1 year ago
Alan Macon
Created by Alan Macon about 6 years ago
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Description

Exponents, Logarithms, and more

Resource summary

Page 1

EXPONENTSx^a + x^b = x^(a+b)(x^a)^b = x^abx^a / x^b = x^(a-b)x^a + x^a = 2x^a2^a + 2^a = 2^(a+1)3^a +3^a = 2 * 3^a 3^a + 3^a + 3^a = 3 * 3^a = 3^(a+1)

LOGARITHMSx^a = B -> log x B = a for x > 0log a B = (log c B) / (log c A) for A, B, C > 0, A != 1Let: x = log c By = log c Az = log a BZ = X/Ylog a B = (log c B) / (log c A)Then:B = C^xA = C^yB = A^zB = (C^Y)^Z = C^YZ = C^XYZ = XZ = X/Y

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