What is the answer to 243sqrt(3)=3^a ?

The answer to 243sqrt(3)=3^a is a= 11/2

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243sqrt(3)=3^a

2433 = 3^{a}

a = \frac{11}{2}

Decimal Notation

a = 5.5

Solution steps

2433 = 3^{a}

Apply exponent rules

\frac{11}{2} = a

Switch sides

a = \frac{11}{2}

e^{2 x} + e^{x} - 9 = 0

8 1^{x} = 64

x, e^{6 x} - 5 e^{3 x} + 4 = 0

14 4^{2 x + 1} = 1 2^{5 x - 1}

3^{x - 1} + 3^{x - 2} = 108