Question

10. If log 2 x = a and log3 y = a, write 72^a in terms
of x and y.​

Answer 1

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Answer 2

Explanation:

log 2x= a and log 3y= a

2^a=x and 3^a=y

n= a^n= m

72= 2×2×2×3×3

72^a=(2×2×2×3×3)^a

= (2^3×3^2)^a

= ( 2^3a× 3^2a)

= (2^a)^3×(3^a)^2

= x^3 y^2