What is the answer to 75=11^x ?

The answer to 75=11^x is x=(ln(75))/(ln(11))

The solution is x=(ln(75))/(ln(11))

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75=11^x

75 = 1 1^{x}

x = \frac{ln ( 75 )}{ln ( 11 )}

Decimal Notation

x = 1.80053 \dots

Solution steps

75 = 1 1^{x}

Apply exponent rules

ln (75) = x ln (11)

Solve

ln (75) = x ln (11) : x = \frac{ln ( 75 )}{ln ( 11 )}

x = \frac{ln ( 75 )}{ln ( 11 )}

(\frac{1}{7})^{3 a + 3} = 34 3^{a - 1}

x, 3^{x} = 7^{y}

70 \cdot e^{\frac{x}{4}} = 0.1

(3 x + 2)^{2 x + 5} = (3 x + 2)^{x - 2}

8^{x + 1} = 43