What is the answer to 5^x=50 ?

The answer to 5^x=50 is x=(ln(50))/(ln(5))

The solution is x=(ln(50))/(ln(5))

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5^x=50

5^{x} = 50

x = \frac{ln ( 50 )}{ln ( 5 )}

Decimal

x = 2.43067 \dots

Solution steps

5^{x} = 50

Apply exponent rules

x ln (5) = ln (50)

Solve

x ln (5) = ln (50) : x = \frac{ln ( 50 )}{ln ( 5 )}

x = \frac{ln ( 50 )}{ln ( 5 )}

2^{2 x} - 3 \cdot 2^{x} = - 2

k, \frac{n}{2 ^{k}} = 1

6 4^{- x + 26} = 12 8^{x}

5^{x} = 6^{x - 1}

3 e^{2 x} - 4 e^{- 2 x} = 5