What is the answer to 1.7=240(0.5)^{x/(19)} ?

The answer to 1.7=240(0.5)^{x/(19)} is x=135.68576…

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1.7=240(0.5)^{x/(19)}

1.7 = 240 (0.5)^{\frac{x}{19}}

x = 135.68576 \dots

Solution steps

1.7 = 240 (0.5)^{\frac{x}{19}}

Switch sides

240 \cdot 0. 5^{\frac{x}{19}} = 1.7

Divide both sides by

240

0. 5^{\frac{x}{19}} = 0.00708 \dots

Apply exponent rules

\frac{x}{19} ln (0.5) = ln (0.00708 \dots)

Solve

\frac{x}{19} ln (0.5) = ln (0.00708 \dots) : x = 135.68576 \dots

x = 135.68576 \dots

n, (z^{2})^{n} = z^{10}

3^{x^{2} - 12} = 9^{2 x}

3^{x} = - 9

e^{x} = 3^{x - 2}

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

What is the answer to 1.7=240(0.5)^{x/(19)} ?
The answer to 1.7=240(0.5)^{x/(19)} is x=135.68576…
Solve for x: 1.7=240(0.5)^{x/(19)}
The solution is x=135.68576…