What is the answer to 7^p=3 ?

The answer to 7^p=3 is p=(ln(3))/(ln(7))

The solution is p=(ln(3))/(ln(7))

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7^p=3

7^{p} = 3

p = \frac{ln ( 3 )}{ln ( 7 )}

Decimal Notation

p = 0.56457 \dots

Solution steps

7^{p} = 3

Apply exponent rules

p ln (7) = ln (3)

Solve

p ln (7) = ln (3) : p = \frac{ln ( 3 )}{ln ( 7 )}

p = \frac{ln ( 3 )}{ln ( 7 )}

18 = 4 + 21 e^{20 x}

x, e^{x} = 2

x, e^{x} = 3

3^{(x^{2} + 3 x)} = 9^{(4 x + 12)}

x, e^{x} = t