What is the answer to 50^x=2 ?

The answer to 50^x=2 is x=(ln(2))/(ln(50))

The solution is x=(ln(2))/(ln(50))

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50^x=2

5 0^{x} = 2

x = \frac{ln ( 2 )}{ln ( 50 )}

Decimal Notation

x = 0.17718 \dots

Solution steps

5 0^{x} = 2

Apply exponent rules

x ln (50) = ln (2)

Solve

x ln (50) = ln (2) : x = \frac{ln ( 2 )}{ln ( 50 )}

x = \frac{ln ( 2 )}{ln ( 50 )}

e^{3 x + 6} = 8

3^{2 x} + 2 \cdot 3^{x} - 15 = 0

x^{2} e^{x} + x e^{x} - e^{x} = 0

(\frac{1}{4})^{x} = 256

2^{3 x + 1} = 3^{x - 1}