4. Write the following expression as a single logarithm. In x² +2 Inz - 2 Inx 5. Use log rules to solve the following equations for y. 2 lnx-3lny = 1 6. Check that the following function is invertible over the specified domain using a plot and the horizontal line test, then find the formula for the inverse. f(x) = 2 (x + 1)2 D: x > -1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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4. Write the following expression as a single logarithm.
In x² +2 Inz - 2 Inx
5. Use log rules to solve the following equations for y.
2 lnx-3lny = 1
6. Check that the following function is invertible over the specified domain using a plot and the
horizontal line test, then find the formula for the inverse.
f(x) =
2
(x + 1)²
D: x > -1
Transcribed Image Text:4. Write the following expression as a single logarithm. In x² +2 Inz - 2 Inx 5. Use log rules to solve the following equations for y. 2 lnx-3lny = 1 6. Check that the following function is invertible over the specified domain using a plot and the horizontal line test, then find the formula for the inverse. f(x) = 2 (x + 1)² D: x > -1
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