Write the following exponential statements in logarithmic form. 5. 50 = y 6. 7. 2 = 4 9-1 =+ 8.

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Chapter7: Conic Sections And Quadratic Systems
Section7.CM: Cumulative Review Exercises
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solve 5,6,7 and 8

Write the following exponential statements in logarithmic form.
5.
50 = y
6.
7.
2 = 4
9-1 =+
8.
Transcribed Image Text:Write the following exponential statements in logarithmic form. 5. 50 = y 6. 7. 2 = 4 9-1 =+ 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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