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प्रश्न
If log√27x = 2 `(2)/(3)` , find x.
उत्तर
log√27x = 2 `(2)/ (3)`
∴ log√27x = `(8)/ (3)`
∴ x = `( sqrt27 )^((8)/ (3))` ...[ ∵ loga x = b ⇒ x = ab ]
∴ x = `( 27^((1)/(2)))^(8/3)`
∴ x = `( 3 ^((3)/(2)))^(8/3)`
∴ x = `3^((3/2)xx(8/3))`
∴ x = 34
∴ x = 81
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