What is the answer to 2^{x-4}=4.2^{x-6} ?

The answer to 2^{x-4}=4.2^{x-6} is x=(6ln(4.2)-4ln(2))/(ln(4.2)-ln(2))

Solve for x: 2^{x-4}=4.2^{x-6}

The solution is x=(6ln(4.2)-4ln(2))/(ln(4.2)-ln(2))

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2^{x - 4} = 4. 2^{x - 6}

x = \frac{6 ln ( 4.2 ) - 4 ln ( 2 )}{ln ( 4.2 ) - ln ( 2 )}

Decimal Notation

x = 7.86847 \dots

Solution steps

2^{x - 4} = 4. 2^{x - 6}

Apply exponent rules

(x - 4) ln (2) = (x - 6) ln (4.2)

Solve

(x - 4) ln (2) = (x - 6) ln (4.2) : x = \frac{6 ln ( 4.2 ) - 4 ln ( 2 )}{ln ( 4.2 ) - ln ( 2 )}

x = \frac{6 ln ( 4.2 ) - 4 ln ( 2 )}{ln ( 4.2 ) - ln ( 2 )}

2 = 1.0 6^{x}

x - e^{- x} = 0

x, 2^{x + 4 y} = 1

a, 3^{a} \cdot (6)^{b} = 2^{5}

1.41 = 2^{x}

What is the answer to 2^{x-4}=4.2^{x-6} ?
The answer to 2^{x-4}=4.2^{x-6} is x=(6ln(4.2)-4ln(2))/(ln(4.2)-ln(2))
Solve for x: 2^{x-4}=4.2^{x-6}
The solution is x=(6ln(4.2)-4ln(2))/(ln(4.2)-ln(2))