What is the answer to 3^{3x}+3=6561 ?

The answer to 3^{3x}+3=6561 is x=(ln(6558))/(3ln(3))

Solve for x: 3^{3x}+3=6561

The solution is x=(ln(6558))/(3ln(3))

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3^{3 x} + 3 = 6561

x = \frac{ln ( 6558 )}{3 ln ( 3 )}

Decimal Notation

x = 2.66652 \dots

Solution steps

3^{3 x} + 3 = 6561

Move

3

to the right side

3^{3 x} = 6558

Apply exponent rules

3 x ln (3) = ln (6558)

Solve

3 x ln (3) = ln (6558) : x = \frac{ln ( 6558 )}{3 ln ( 3 )}

x = \frac{ln ( 6558 )}{3 ln ( 3 )}

2^{2 x + 1} + 4^{x - 1} = 9

t, e^{t} = x^{2}

8^{x - 2} = 6^{3 x}

5 (3^{x}) - 40 (3^{- x}) = 17

x, e^{\frac{2 x}{5}} = 25

What is the answer to 3^{3x}+3=6561 ?
The answer to 3^{3x}+3=6561 is x=(ln(6558))/(3ln(3))
Solve for x: 3^{3x}+3=6561
The solution is x=(ln(6558))/(3ln(3))