Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Solve for x in simplest form. 1=(1)/(2)(x+6) Answer:

Solve for x \mathrm{x} in simplest form.\newline1=12(x+6) 1=\frac{1}{2}(x+6) \newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 7right chevron icon
Powers with decimal and fractional basesright chevron icon

Full solution

Q. Solve for x \mathrm{x} in simplest form.\newline1=12(x+6) 1=\frac{1}{2}(x+6) \newlineAnswer:
  1. Understand the equation: Understand the equation.\newlineWe are given the equation 1=12(x+6)1 = \frac{1}{2}(x+6). We need to solve for xx.
  2. Multiply to eliminate fraction: Multiply both sides of the equation by 2(x+6)2(x+6) to eliminate the fraction.\newline1×2(x+6)=12(x+6)×2(x+6)1 \times 2(x+6) = \frac{1}{2}(x+6) \times 2(x+6)
  3. Simplify both sides: Simplify both sides of the equation. 2(x+6)=12(x+6) = 1
  4. Distribute on left side: Distribute 22 on the left side of the equation.\newline2x+12=12x + 12 = 1
  5. Subtract to isolate term: Subtract 1212 from both sides of the equation to isolate the term with xx.\newline2x+12−12=1−122x + 12 - 12 = 1 - 12
  6. Divide to solve for xx: Simplify both sides of the equation.2x=−112x = -11
  7. Find value of x: Divide both sides of the equation by 22 to solve for x.\newline2x2=−112\frac{2x}{2} = \frac{-11}{2}
  8. Find value of x: Divide both sides of the equation by 22 to solve for x.\newline2x2=−112\frac{2x}{2} = \frac{-11}{2} Simplify both sides of the equation to find the value of x.\newlinex=−112x = \frac{-11}{2}

More problems from Powers with decimal and fractional bases

Question
Write the expression using an exponent.\newline2×22 \times 2\newline______
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate the expression. 4−42 4 - 4^2 ____
Get tutor helpright-arrow

Posted 3 months ago

Question
x2=4x^2 = 4
Get tutor helpright-arrow

Posted 2 months ago

Question
x2=9x^2 = 9
Get tutor helpright-arrow

Posted 4 months ago

Question
Solve for x. \newlinex2=0x^2 = 0 \newlineWrite your answer in simplified, rationalized form. \newlinex=x = _____ or x=x = _____
Get tutor helpright-arrow

Posted 4 months ago

Question
Solve for xx. \newline8=2x8 = 2^x \newline x=x = _____
Get tutor helpright-arrow

Posted 4 months ago

Question
Solve for xx. \newline6=7x6 = 7^x \newline x=x = _____
Get tutor helpright-arrow

Posted 4 months ago

Question
Select the equivalent expression.\newline((8−5)/(2−2))−4=?((8^{-5})/(2^{-2}))^{-4}=?\newlineChoose 11 answer:\newline(A) \newline(820)/(28)(8^{20})/(2^{8})\newline(B) \newline(26)/(89)(2^{6})/(8^{9})\newline(C) \newline(1)/(8⋅22)(1)/(8\cdot 2^{2})
Get tutor helpright-arrow

Posted 17 days ago

Question
Select the equivalent expression.\newline(b745)−3= ?\left(\frac{b^{7}}{4^{5}}\right)^{-3}=\,?\newlineChoose 11 answer:\newline(A) b21415\frac{b^{21}}{4^{15}}\newline(B) 415b21\frac{4^{15}}{b^{21}}\newline(C) b−21⋅4−15b^{-21}\cdot 4^{-15}
Get tutor helpright-arrow

Posted 2 months ago

Question
Select the equivalent expression.\newline(33⋅66)−3=(3^{3}\cdot6^{6})^{-3}=?\newlineChoose 11 answer:\newline(A) 139⋅618\frac{1}{3^{9}\cdot6^{18}}\newline(B) 61839\frac{6^{18}}{3^{9}}\newline(C) 39618\frac{3^{9}}{6^{18}}
Get tutor helpright-arrow

Posted 2 months ago

View all (55)