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If log(3) y = x and log(2) z = x ,...

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

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` 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)`
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