What is the answer to 65=13^x ?

The answer to 65=13^x is x=(ln(65))/(ln(13))

The solution is x=(ln(65))/(ln(13))

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65=13^x

65 = 1 3^{x}

x = \frac{ln ( 65 )}{ln ( 13 )}

Decimal Notation

x = 1.62747 \dots

Solution steps

65 = 1 3^{x}

Apply exponent rules

ln (65) = x ln (13)

Solve

ln (65) = x ln (13) : x = \frac{ln ( 65 )}{ln ( 13 )}

x = \frac{ln ( 65 )}{ln ( 13 )}

2^{5 x + 3} = 14

t, 3 x^{t} = (a \cdot b) + c

2^{x + 1} = 3^{2 x - 5}

4000000 = 500000 \cdot 1. 1^{t}

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