What is the answer to 1.4*0.9^x=0.5^x ?

The answer to 1.4*0.9^x=0.5^x is x=-(ln(1.4))/(ln(0.9)-ln(0.5))

Solve for x: 1.4*0.9^x=0.5^x

The solution is x=-(ln(1.4))/(ln(0.9)-ln(0.5))

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1.4 \cdot 0. 9^{x} = 0. 5^{x}

x = - \frac{ln ( 1.4 )}{ln ( 0.9 ) - ln ( 0.5 )}

Decimal Notation

x = - 0.57243 \dots

Solution steps

1.4 \cdot 0. 9^{x} = 0. 5^{x}

Apply exponent rules

ln (1.4) + x ln (0.9) = x ln (0.5)

Solve

ln (1.4) + x ln (0.9) = x ln (0.5) : x = - \frac{ln ( 1.4 )}{ln ( 0.9 ) - ln ( 0.5 )}

x = - \frac{ln ( 1.4 )}{ln ( 0.9 ) - ln ( 0.5 )}

10 0^{\frac{2}{x}} = (1 + 0.1)^{x}

2 (1 0^{x}) + 35 = 179

30 = 286.93 (0.973 8^{x})

4^{(x)} + 2^{(x + 2)} = 3

4 \cdot 1 0^{2 x} = 1

What is the answer to 1.4*0.9^x=0.5^x ?
The answer to 1.4*0.9^x=0.5^x is x=-(ln(1.4))/(ln(0.9)-ln(0.5))
Solve for x: 1.4*0.9^x=0.5^x
The solution is x=-(ln(1.4))/(ln(0.9)-ln(0.5))