Solve for (y) in terms of (x): 3\ln y=3\ln x

babeeb0oL

babeeb0oL

Answered question

2021-11-07

Solve for (y) in terms of (x):
3lny=3lnx

Answer & Explanation

irwchh

irwchh

Skilled2021-11-08Added 102 answers

Step 1
Given:
3lny=3lnx
Step 2
Properties of Logarithms (Formulas):
aln(b)=ln(ba)
lnx+lny=ln(xy)
lnxlny=ln(xy)
Step 3
Solution:
3lny=3lnx
ln(y3)=ln(x3)
[aln(b)=ln(ba)]
Logarithms cancel out each other
y3=x3
Cubes cancel out each other
y=x Step 4
Answer:
y3=x3

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