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:

Rewrite this number in decimal notation without the use of exponents or scientific notation: 8.839×10108.839\times10^{10}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Convert between exponential and logarithmic form: rational basesright chevron icon

Full solution

Q. Rewrite this number in decimal notation without the use of exponents or scientific notation: 8.839×10108.839\times10^{10}
  1. Understand the problem: Understand the problem.\newlineWe need to convert the scientific notation 8.839×10108.839\times10^{10} into a standard decimal form. This means we need to move the decimal point 1010 places to the right because the exponent on 1010 is positive 1010.
  2. Move the decimal point: Move the decimal point.\newlineStarting with 8.8398.839, we move the decimal point 1010 places to the right. Since there are only three digits after the decimal, we will need to add zeros to fill in the gaps.\newlineCalculation: 8.8398.839 becomes 8839000000088390000000 when we move the decimal point 1010 places to the right.
  3. Write the final answer: Write the final answer.\newlineAfter moving the decimal point 1010 places to the right, we get the number 8839000000088390000000 in decimal notation.

More problems from Convert between exponential and logarithmic form: rational bases

Question
Convert the exponential equation in logarithmic form.\newline93=7299^3 = 729
Get tutor helpright-arrow

Posted 4 months ago

Question
Convert the exponential equation in logarithmic form.\newlinee4≈54.598e^4 \approx 54.598
Get tutor helpright-arrow

Posted 4 months ago

Question
Write the logarithmic equation in exponential form.\newlinelog⁡10100=2\log_{10}100 = 2\newline102=‾10^2 = \underline{\hspace{2em}}
Get tutor helpright-arrow

Posted 9 months ago

Question
Evaluate. Write your answer as a whole number, proper fraction, or improper fraction in simplest form.\newlineln⁡(e)10=\frac{\ln (e)}{10} = ______
Get tutor helpright-arrow

Posted 4 months ago

Question
Rewrite as a quotient of two common logarithms. Write your answer in simplest form.\newlinelog⁡333=\log_3 33 = ______
Get tutor helpright-arrow

Posted 9 months ago

Question
Evaluate. Round your answer to the nearest thousandth.\newlinelog⁡550=\log_{5}50 = ____
Get tutor helpright-arrow

Posted 9 months ago

Question
Which property of logarithms does this equation demonstrate? \newlinelog⁡33+log⁡36=log⁡318\log_3 3 + \log_3 6 = \log_3 18\newlineChoices:\newline(A) Product Property\text{Product Property}\newline(B) Power Property\text{Power Property}\newline(C) Quotient Property\text{Quotient Property}
Get tutor helpright-arrow

Posted 5 months ago

Question
Expand the logarithm. Assume all expressions exist and are well-defined.\newlineWrite your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable.\newlinelog⁡(uv)\log(uv)\newline_____
Get tutor helpright-arrow

Posted 9 months ago

Question
Expand the logarithm. Assume all expressions exist and are well-defined.\newlineWrite your answer as a sum or difference of common logarithms or multiples of common logarithms. The inside of each logarithm must be a distinct constant or variable.\newlinelog⁡v7\log v^7 \newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Expand the logarithm. Assume all expressions exist and are well-defined.\newlineWrite your answer as a sum or difference of base-66 logarithms or multiples of base-66 logarithms. The inside of each logarithm must be a distinct constant or variable.\newlinelog⁡6w6\log_6 w^6\newline______
Get tutor helpright-arrow

Posted 9 months ago

View all (23)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant