What is the answer to 10(4)^x=20(6)^{3x} ?

The answer to 10(4)^x=20(6)^{3x} is x=-(ln(2))/(ln(54))

Solve for x: 10(4)^x=20(6)^{3x}

The solution is x=-(ln(2))/(ln(54))

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10 (4)^{x} = 20 (6)^{3 x}

x = - \frac{ln ( 2 )}{ln ( 54 )}

Decimal Notation

x = - 0.17376 \dots

Solution steps

10 (4)^{x} = 20 (6)^{3 x}

Apply exponent rules

ln (10) + x ln (4) = ln (20) + 3 x ln (6)

Solve

ln (10) + x ln (4) = ln (20) + 3 x ln (6) : x = - \frac{ln ( 2 )}{ln ( 54 )}

x = - \frac{ln ( 2 )}{ln ( 54 )}

10 0^{x} = 100000

y, a = v t^{x} (1 + k^{y - x})

8^{4 p} = 8^{4 p + 12}

57 = 3 3^{x}

What is the answer to 10(4)^x=20(6)^{3x} ?
The answer to 10(4)^x=20(6)^{3x} is x=-(ln(2))/(ln(54))
Solve for x: 10(4)^x=20(6)^{3x}
The solution is x=-(ln(2))/(ln(54))