What is the answer to 36^{3x+1}=121 ?

The answer to 36^{3x+1}=121 is x=(ln(11)-ln(6))/(3ln(6))

Solve for x: 36^{3x+1}=121

The solution is x=(ln(11)-ln(6))/(3ln(6))

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3 6^{3 x + 1} = 121

x = \frac{ln ( 11 ) - ln ( 6 )}{3 ln ( 6 )}

Decimal Notation

x = 0.11276 \dots

Solution steps

3 6^{3 x + 1} = 121

Apply exponent rules

(3 x + 1) ln (36) = ln (121)

Solve

(3 x + 1) ln (36) = ln (121) : x = \frac{ln ( 11 ) - ln ( 6 )}{3 ln ( 6 )}

x = \frac{ln ( 11 ) - ln ( 6 )}{3 ln ( 6 )}

2^{3 x - 4} = 3

2^{3 x - 4} = 5

3^{x} - 3^{x - 1} + 3^{x - 2} = 21

e^{(2 t + 1)} = 9 e^{(1 - t)}

x, 2 e^{3 x} = 4 e^{5 x}

What is the answer to 36^{3x+1}=121 ?
The answer to 36^{3x+1}=121 is x=(ln(11)-ln(6))/(3ln(6))
Solve for x: 36^{3x+1}=121
The solution is x=(ln(11)-ln(6))/(3ln(6))