Q. 44.5( 22 Votes )

# If 27^{x} =, find *x*.

^{x}

Answer :

We have,

(27)^{x} = 9 / 3^{x}

(3^{3})^{x} = 3^{2} / 3^{x}

3^{3x} = 3 ^{2 – x}

3x = 2 – x {On equating exponents}

3x + x = 2

4x = 2

x = =

Hence, the value of x is

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