Unit 6 project converting to the exponential form, assignment help

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0000 AT&T 1:31 PM 1 84% Studypool Inc. Unit 6 Project 1. 2. 3. Write 37 = 2187 in logarithmic form. Write log, 16 = (4/3) in exponential form. Express log: 5 in terms of common logarithms. Then approximate its value to four decimal places. Evaluate log2(1/64). 4. Use log, 7 = 1.4037 and log, 3 = 0.7925 to approximate the value of each expression. 5. 6. log, 21 log. (7/12) Solve each equation or inequality. Round to four decimal places if necessary. 7. 272p+1 = 34-1 8. logm 144 = -2 9. 2e3x + 5 = 11 10. log. (x + 4) + log, (x - 4) = 1 11. log, x
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Explanation & Answer

Attached.

1- 𝑙𝑜𝑔3 2187 = 3
4

2- 83 = 16
3- 𝑙𝑜𝑔3 5 =
4- 𝑙𝑜𝑔2

1
64

𝑙𝑜𝑔10 5
𝑙𝑜𝑔10 3

=

= 𝑙𝑜𝑔2 64

log 5

log 3
−1

= 𝟏. 𝟒𝟔𝟒𝟗𝟕 ≅ 𝟏. 𝟒𝟔𝟓𝟎

= 𝑙𝑜𝑔2 (26 )−1 = 𝑙𝑜𝑔2 2−6 = −6 𝑙𝑜𝑔2 2 = −𝟔

5- 𝑙𝑜𝑔4 21 = 𝑙𝑜𝑔4 (3 × 7) = 𝑙𝑜𝑔4 3 + 𝑙𝑜𝑔4 7 = 0.7925 + 1.4037 =
𝟐. 𝟏𝟗𝟔𝟐
6- 𝑙𝑜𝑔4 (7/12) = 𝑙𝑜𝑔4 7 − 𝑙𝑜𝑔4 12 = 𝑙𝑜𝑔4 7 − 𝑙𝑜𝑔4 (3 × 4) =
𝑙𝑜𝑔4 7 − (𝑙𝑜𝑔4 3 + (𝑙𝑜𝑔4 4) = 1.4037 − (0.7925 + 1) =
−𝟎. 𝟑𝟖𝟖𝟖
7- 272𝑝+1 = 34𝑝−1
(33 )2𝑝+1 = 34𝑝−1
33(2𝑝+1) = 34𝑝−1
36𝑝+3 = 34𝑝−1
6p+3 = 4p-1
2p = -4
P= -2
8- 𝑙𝑜𝑔𝑚 144 = −2 converting to the exponential form
144 = 𝑚−2
1
144 = ( )2 Taking ...

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