What is the answer to 69=25^x ?

The answer to 69=25^x is x=(ln(69))/(2ln(5))

The solution is x=(ln(69))/(2ln(5))

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69=25^x

69 = 2 5^{x}

x = \frac{ln ( 69 )}{2 ln ( 5 )}

Decimal Notation

x = 1.31539 \dots

Solution steps

69 = 2 5^{x}

Apply exponent rules

ln (69) = x ln (25)

Solve

ln (69) = x ln (25) : x = \frac{ln ( 69 )}{2 ln ( 5 )}

x = \frac{ln ( 69 )}{2 ln ( 5 )}

2^{x} = e^{x l n (2)}

\frac{4}{( 2 ^{x} )} = 98

N = 0.892 e^{0.0091 t}

5^{x + 2} = 1

2^{x} - 12 \cdot 2^{x} + 32 = 0