What is the answer to 5^n=20 ?

The answer to 5^n=20 is n=(ln(20))/(ln(5))

The solution is n=(ln(20))/(ln(5))

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5^n=20

5^{n} = 20

n = \frac{ln ( 20 )}{ln ( 5 )}

Decimal Notation

n = 1.86135 \dots

Solution steps

5^{n} = 20

Apply exponent rules

n ln (5) = ln (20)

Solve

n ln (5) = ln (20) : n = \frac{ln ( 20 )}{ln ( 5 )}

n = \frac{ln ( 20 )}{ln ( 5 )}

5^{x} = 2 e^{x + 1}

3^{2 x} - 10 \cdot 3^{x} + 9 = 0

4 = 2^{x}

2^{x} = 1000

\frac{e ^{x}}{1 - x} = 0