What is the answer to 5^n=1901 ?

The answer to 5^n=1901 is n=(ln(1901))/(ln(5))

Solve for n: 5^n=1901

The solution is n=(ln(1901))/(ln(5))

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5^{n} = 1901

n = \frac{ln ( 1901 )}{ln ( 5 )}

Decimal Notation

n = 4.69116 \dots

Solution steps

5^{n} = 1901

Apply exponent rules

n ln (5) = ln (1901)

Solve

n ln (5) = ln (1901) : n = \frac{ln ( 1901 )}{ln ( 5 )}

n = \frac{ln ( 1901 )}{ln ( 5 )}

e^{x + 7} = 12

w, 2 z = e^{w} - e^{- w}

\frac{60}{1 + e ^{- x}} = 4

e^{\frac{k}{12}} = a

ln (e^{x}) = 3