What is the answer to 3^x=13 ?

The answer to 3^x=13 is x=(ln(13))/(ln(3))

The solution is x=(ln(13))/(ln(3))

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3^x=13

3^{x} = 13

x = \frac{ln ( 13 )}{ln ( 3 )}

Decimal

x = 2.33471 \dots

Solution steps

3^{x} = 13

Apply exponent rules

x ln (3) = ln (13)

Solve

x ln (3) = ln (13) : x = \frac{ln ( 13 )}{ln ( 3 )}

x = \frac{ln ( 13 )}{ln ( 3 )}

5^{2 x + 1} = 12 5^{x}

4^{x} \cdot 2^{x^{2}} = 1 6^{2}

3^{x} - 2 = 12

e^{2 x - 1} = 4

2^{x} + 2^{x + 1} = 12