Question

Plzzz ans....Logarithms ....Thnk you

Answer 1

Hey there !!!!

3/2(loga)+2/3(logb)-1=0

3/2(loga)+2/3(logb)=1

We know that xlogt=logtˣ

So,
loga³/₂+logb²/₃=log10

loga³/₂*b²/₃=log10

a³/₂*b²/₃=10----Equation 1

Cubing equation 1 on both sides

a³*³/₂*b²*³/₃=10³

a⁹/₂*b²=1000-----Equation 2

Now squaring equation 2 on both sides

(a⁹/₂*b²)²=(1000)²

a⁹*²/₂*b⁴=10³*²

a⁹*b⁴=10⁶

Hope this helped you....................