What is the answer to 81^{8x}=3^{32^7} ?

The answer to 81^{8x}=3^{32^7} is x=32^6

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81^{8x}=3^{32^7}

8 1^{8 x} = 3^{3 2^{7}}

x = 3 2^{6}

Decimal Notation

x = 1073741824

Solution steps

8 1^{8 x} = 3^{3 2^{7}}

Apply exponent rules

32 x = 3 2^{7}

Solve

32 x = 3 2^{7} : x = 3 2^{6}

x = 3 2^{6}

(6 x)^{x} = 6^{6^{6}}

x, e^{x} = e - 1

3^{- n} = 27

0.51 = e^{0.5 t} - 1

2^{x} = 0.5 e^{- 1 x}

What is the answer to 81^{8x}=3^{32^7} ?
The answer to 81^{8x}=3^{32^7} is x=32^6
Solve for x: 81^{8x}=3^{32^7}
The solution is x=32^6