What is the answer to 51=3^x ?

The answer to 51=3^x is x=(ln(51))/(ln(3))

The solution is x=(ln(51))/(ln(3))

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51=3^x

51 = 3^{x}

x = \frac{ln ( 51 )}{ln ( 3 )}

Decimal Notation

x = 3.57890 \dots

Solution steps

51 = 3^{x}

Apply exponent rules

ln (51) = x ln (3)

Solve

ln (51) = x ln (3) : x = \frac{ln ( 51 )}{ln ( 3 )}

x = \frac{ln ( 51 )}{ln ( 3 )}

1 0^{x} - 23 = 9977

6^{v} = 216

2^{x} \cdot 3^{x} = 36

1 6^{3 x - 2} = 8^{2 x}

e^{2 x - 1} = 7