College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter7: Conic Sections And Quadratic Systems
Section7.CM: Cumulative Review Exercises
Problem 37CM
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Concept explainers
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
Question
solve 5,6,7 and 8
Expert Solution
Step 1
x = ay
loga(x) = loga(ay)
loga(x) = y*loga(a)
loga(x) = y
Step 2
(5). a-3 = 1/8
=> a-3 = 1/23
=> a-3 = 2-3
=> log2(a-3) = log2(2-3)
=> -3*log2(a) = -3*log2(2)
=> log2(a) = log2(2)
=> log2(a) = 1
(6). 50 = y
=> 1 = y
=>loge(1) = loge(y)
=> 0 = loge(y)
=> loge(y) = 0
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