What is the answer to 65=15^x ?

The answer to 65=15^x is x=(ln(65))/(ln(15))

The solution is x=(ln(65))/(ln(15))

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65=15^x

65 = 1 5^{x}

x = \frac{ln ( 65 )}{ln ( 15 )}

Decimal Notation

x = 1.54147 \dots

Solution steps

65 = 1 5^{x}

Apply exponent rules

ln (65) = x ln (15)

Solve

ln (65) = x ln (15) : x = \frac{ln ( 65 )}{ln ( 15 )}

x = \frac{ln ( 65 )}{ln ( 15 )}

62 5^{x + 5} = 5^{3 x - 4} 2 5^{2 x - 3}

8 1^{x^{2} - 1} = 27

2^{3 x} = \frac{1}{16}

x, 2^{x} = 1

e^{x} - 9 x = 0