What is the answer to 13^x=30 ?

The answer to 13^x=30 is x=(ln(30))/(ln(13))

The solution is x=(ln(30))/(ln(13))

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13^x=30

1 3^{x} = 30

x = \frac{ln ( 30 )}{ln ( 13 )}

Decimal Notation

x = 1.32602 \dots

Solution steps

1 3^{x} = 30

Apply exponent rules

x ln (13) = ln (30)

Solve

x ln (13) = ln (30) : x = \frac{ln ( 30 )}{ln ( 13 )}

x = \frac{ln ( 30 )}{ln ( 13 )}

29.5 = 1 0^{(\frac{x}{10})}

4^{\frac{1}{x - 2}} = \frac{( lo g _{10} ( 10 ) )}{2}

x^{2} = e^{x}

8^{x} = \frac{1}{32}

2 7^{x} = \frac{3}{( 3 ^{x} )}