What is the answer to 3^x=20 ?

The answer to 3^x=20 is x=(ln(20))/(ln(3))

The solution is x=(ln(20))/(ln(3))

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3^x=20

3^{x} = 20

x = \frac{ln ( 20 )}{ln ( 3 )}

Decimal Notation

x = 2.72683 \dots

Solution steps

3^{x} = 20

Apply exponent rules

x ln (3) = ln (20)

Solve

x ln (3) = ln (20) : x = \frac{ln ( 20 )}{ln ( 3 )}

x = \frac{ln ( 20 )}{ln ( 3 )}

e^{6 - 4 x} = 5

e^{2 x - 1} = 3

0.2 5^{x - 4} = 0. 5^{- 2 x + 1}

2^{n} = 1 0^{6}

5^{x - 1} = 2^{x}