What is the answer to 81^x=63 ?

The answer to 81^x=63 is x=(ln(63))/(4ln(3))

The solution is x=(ln(63))/(4ln(3))

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81^x=63

8 1^{x} = 63

x = \frac{ln ( 63 )}{4 ln ( 3 )}

Decimal Notation

x = 0.94281 \dots

Solution steps

8 1^{x} = 63

Apply exponent rules

x ln (81) = ln (63)

Solve

x ln (81) = ln (63) : x = \frac{ln ( 63 )}{4 ln ( 3 )}

x = \frac{ln ( 63 )}{4 ln ( 3 )}

4^{- 2 x - 1} = 16

3^{(- x + 1)} = \frac{1}{81}

e^{2 z} + e^{z} + 1 = 0

e^{x^{2}} = 2 e^{x}

2^{11 x} = 2^{x - 4}