What is the answer to 5=3^x ?

The answer to 5=3^x is x=(ln(5))/(ln(3))

The solution is x=(ln(5))/(ln(3))

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5=3^x

5 = 3^{x}

x = \frac{ln ( 5 )}{ln ( 3 )}

Decimal Notation

x = 1.46497 \dots

Solution steps

5 = 3^{x}

Apply exponent rules

ln (5) = x ln (3)

Solve

ln (5) = x ln (3) : x = \frac{ln ( 5 )}{ln ( 3 )}

x = \frac{ln ( 5 )}{ln ( 3 )}

1 7^{x} = 2

3^{2 x - 3} = 27

2^{x + 2} + 3 \cdot 2^{x - 1} = 22

2^{2 x - 3} = 8

1 0^{x} = 7