Question

a 5. If a2x-3.b2x = a x.bSx, prove that 3loga = xlog b






please reply sofiaaa​

Answer 1

3−x

b

5x

=a

x+5

b

3x

Apply logarithm on both sides

⟹(3−x)loga+5xlogb=(x+5)loga+3xlogb

⟹3loga−xloga+5xlogb=xloga+5loga+3xlogb

⟹x(2logb−2loga)=2loga

⟹xlog(

a

b

)=loga

Hence Proved

Answer 2

Answer:

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