If ` log_(3) y = x and log_(2) z = x , " find " 72^(x)` in terms of y and z.

If ` log_(3) y = x and log_(2) z = x , " find " 72^(x)` in terms of y

1.	If ` log_(3) y = x and log_(2) z = x , " find " 72^(x)` in terms of y and z.
Answer» ` log_(3) y = x` ` rArr y = 3^(x)` ` log_(2) z=x` ` rArr z = 2^(x)` Now, ` 72^(x) = (2^(3)3^(2))^(x) = 2^(3x)3^(2x) =( 2^(x))^(3)(3^(x))^(2)=y^(3)z^(2)`