What is the answer to 27^a=8 ?

The answer to 27^a=8 is a=(ln(2))/(ln(3))

The solution is a=(ln(2))/(ln(3))

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27^a=8

2 7^{a} = 8

a = \frac{ln ( 2 )}{ln ( 3 )}

Decimal Notation

a = 0.63092 \dots

Solution steps

2 7^{a} = 8

Apply exponent rules

a ln (27) = ln (8)

Solve

a ln (27) = ln (8) : a = \frac{ln ( 2 )}{ln ( 3 )}

a = \frac{ln ( 2 )}{ln ( 3 )}

2 \cdot 5^{x} = 250

8 (1 0^{3 x}) = 12

2 = (1 + \frac{11}{200})^{n}

x^{2} 2^{x} - 2^{x} 18 = 0

7^{3 x^{2}} = 4 9^{- 6 x + 2}