The resulting equation is x = [tex]log_{3/2} 3[/tex]
3ˣ = 3 × 2ˣ
divide both sides by 2ˣ
3ˣ / 2ˣ = (3 × 2ˣ) / 2ˣ
3ˣ / 2ˣ = 3
Note 3ˣ / 2ˣ = (3 / 2)ˣ
log both sides
Therefore,
[tex]log_{3/2} [/tex]( 3 / 2)ˣ = [tex]log_{3/2}3 [/tex]
Finally,
x = [tex]log_{3/2} 3[/tex]
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