What is the answer to 5^x=14 ?

The answer to 5^x=14 is x=(ln(14))/(ln(5))

The solution is x=(ln(14))/(ln(5))

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5^x=14

5^{x} = 14

x = \frac{ln ( 14 )}{ln ( 5 )}

Decimal Notation

x = 1.63973 \dots

Solution steps

5^{x} = 14

Apply exponent rules

x ln (5) = ln (14)

Solve

x ln (5) = ln (14) : x = \frac{ln ( 14 )}{ln ( 5 )}

x = \frac{ln ( 14 )}{ln ( 5 )}

5^{x} = - 1

3^{2 x + 5} = 3^{7}

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

3 6^{2 x} = 21 6^{x - 1}

x, f = k a^{x}