What is the answer to 65=25^x ?

The answer to 65=25^x is x=(ln(65))/(2ln(5))

The solution is x=(ln(65))/(2ln(5))

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65=25^x

65 = 2 5^{x}

x = \frac{ln ( 65 )}{2 ln ( 5 )}

Decimal Notation

x = 1.29684 \dots

Solution steps

65 = 2 5^{x}

Apply exponent rules

ln (65) = x ln (25)

Solve

ln (65) = x ln (25) : x = \frac{ln ( 65 )}{2 ln ( 5 )}

x = \frac{ln ( 65 )}{2 ln ( 5 )}

lo g_{e} (e^{x}) = 5

(16)^{3 x} = 2

7^{3 x - 4} = 14

0 = - e^{- x}

5 (2)^{x} = 1 0^{x}