What is the answer to 3^{16x}=13^{x-3} ?

The answer to 3^{16x}=13^{x-3} is x=-(3ln(13))/(16ln(3)-ln(13))

Solve for x: 3^{16x}=13^{x-3}

The solution is x=-(3ln(13))/(16ln(3)-ln(13))

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3^{16 x} = 1 3^{x - 3}

x = - \frac{3 ln ( 13 )}{16 ln ( 3 ) - ln ( 13 )}

Decimal Notation

x = - 0.51255 \dots

Solution steps

3^{16 x} = 1 3^{x - 3}

Apply exponent rules

16 x ln (3) = (x - 3) ln (13)

Solve

16 x ln (3) = (x - 3) ln (13) : x = - \frac{3 ln ( 13 )}{16 ln ( 3 ) - ln ( 13 )}

x = - \frac{3 ln ( 13 )}{16 ln ( 3 ) - ln ( 13 )}

125 = 5^{x - 1}

78 + 1142 e^{- 0.8065 x} = 150

5^{x} = 5

x^{x} = 2^{512}

5^{x - 1} = 3^{2 x - 1}

What is the answer to 3^{16x}=13^{x-3} ?
The answer to 3^{16x}=13^{x-3} is x=-(3ln(13))/(16ln(3)-ln(13))
Solve for x: 3^{16x}=13^{x-3}
The solution is x=-(3ln(13))/(16ln(3)-ln(13))