What is the answer to 3/4 =(1/2)^{x/(10)} ?

The answer to 3/4 =(1/2)^{x/(10)} is x=-(10ln(3/4))/(ln(2))

Solve for x: 3/4 =(1/2)^{x/(10)}

The solution is x=-(10ln(3/4))/(ln(2))

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\frac{3}{4} = (\frac{1}{2})^{\frac{x}{10}}

x = - \frac{10 ln ( \frac{3}{4} )}{ln ( 2 )}

Decimal Notation

x = 4.15037 \dots

Solution steps

\frac{3}{4} = (\frac{1}{2})^{\frac{x}{10}}

Multiply both sides by

4

\frac{3}{4} \cdot 4 = (\frac{1}{2})^{\frac{x}{10}} \cdot 4

Simplify

3 = (\frac{1}{2})^{\frac{x}{10}} \cdot 4

Switch sides

(\frac{1}{2})^{\frac{x}{10}} \cdot 4 = 3

Divide both sides by

4

(\frac{1}{2})^{\frac{x}{10}} = \frac{3}{4}

Apply exponent rules

\frac{x}{10} ln (\frac{1}{2}) = ln (\frac{3}{4})

Solve

\frac{x}{10} ln (\frac{1}{2}) = ln (\frac{3}{4}) : x = - \frac{10 ln ( \frac{3}{4} )}{ln ( 2 )}

x = - \frac{10 ln ( \frac{3}{4} )}{ln ( 2 )}

9^{x} + 2 = 720 + 9^{x}

2 = (1.2)^{n}

8^{k + 1} - 1 = (8^{k + 1} - 8) + (8 - 1)

4^{x} - 2^{x} = 56

2 x + 3^{x} = 13

What is the answer to 3/4 =(1/2)^{x/(10)} ?
The answer to 3/4 =(1/2)^{x/(10)} is x=-(10ln(3/4))/(ln(2))
Solve for x: 3/4 =(1/2)^{x/(10)}
The solution is x=-(10ln(3/4))/(ln(2))