What is the answer to 20^x=3 ?

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

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

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20^x=3

2 0^{x} = 3

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

Decimal Notation

x = 0.36672 \dots

Solution steps

2 0^{x} = 3

Apply exponent rules

x ln (20) = ln (3)

Solve

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

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

4^{x^{2}} \cdot 2^{7 x} = 16

4^{x + 1} + 2^{x - 2} = 68

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

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

1 0^{- 2 x} = \frac{1}{10000}