What is the answer to 26=220(0.5)^{x/6} ?

The answer to 26=220(0.5)^{x/6} is x=(6ln(13/110))/(ln(0.5))

Solve for x: 26=220(0.5)^{x/6}

The solution is x=(6ln(13/110))/(ln(0.5))

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26 = 220 (0.5)^{\frac{x}{6}}

x = \frac{6 ln ( \frac{13}{110} )}{ln ( 0.5 )}

Decimal Notation

x = 18.48551 \dots

Solution steps

26 = 220 (0.5)^{\frac{x}{6}}

Switch sides

220 \cdot 0. 5^{\frac{x}{6}} = 26

Divide both sides by

220

0. 5^{\frac{x}{6}} = \frac{13}{110}

Apply exponent rules

\frac{x}{6} ln (0.5) = ln (\frac{13}{110})

Solve

\frac{x}{6} ln (0.5) = ln (\frac{13}{110}) : x = \frac{6 ln ( \frac{13}{110} )}{ln ( 0.5 )}

x = \frac{6 ln ( \frac{13}{110} )}{ln ( 0.5 )}

e^{3 x} = 13.68

x, 4^{x + 5} - 4^{x + 4} = 384

x^{l o g_{3} (x)} - 5 = 76

x, 2^{x} = 0.25

22 5^{3 (x + 1)} = 15

What is the answer to 26=220(0.5)^{x/6} ?
The answer to 26=220(0.5)^{x/6} is x=(6ln(13/110))/(ln(0.5))
Solve for x: 26=220(0.5)^{x/6}
The solution is x=(6ln(13/110))/(ln(0.5))