What is the answer to 3^x=500 ?

The answer to 3^x=500 is x=(ln(500))/(ln(3))

The solution is x=(ln(500))/(ln(3))

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3^x=500

3^{x} = 500

x = \frac{ln ( 500 )}{ln ( 3 )}

Decimal Notation

x = 5.65678 \dots

Solution steps

3^{x} = 500

Apply exponent rules

x ln (3) = ln (500)

Solve

x ln (3) = ln (500) : x = \frac{ln ( 500 )}{ln ( 3 )}

x = \frac{ln ( 500 )}{ln ( 3 )}

4^{x} = 128

3^{x} = 23

2^{x + 3} + 4^{x + 1} = 320

4^{x^{2} - 11 x + 30} = 16

2 e^{t} = 75