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:

Express the given expression as an integer or as a fraction in simplest form. (11^(log_(11)2)) Answer:

Express the given expression as an integer or as a fraction in simplest form.\newline(11log⁡112) \left(11^{\log _{11} 2}\right) \newlineAnswer:

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Precalculusright chevron icon
Evaluate logarithmsright chevron icon

Full solution

Q. Express the given expression as an integer or as a fraction in simplest form.\newline(11log⁡112) \left(11^{\log _{11} 2}\right) \newlineAnswer:
  1. Recognize Property of Logarithms: Recognize the property of logarithms that states alog⁡a(b)=ba^{\log_a(b)} = b. Here, we have 11log⁡11211^{\log_{11}2}, which means we can apply this property.
  2. Apply Property to Simplify: Apply the property to simplify the expression.\newlineSince the base of the logarithm 1111 matches the base of the exponent 1111, we can simplify the expression to just the argument of the logarithm, which is 22.\newline11log⁡112=211^{\log_{11}2} = 2

More problems from Evaluate logarithms

Question
Solve for xx.\newline5x=15^x=1\newline\newlineWrite your answer in simplest form.
Get tutor helpright-arrow

Posted 5 months ago

Question
Steven opened a savings account and deposited $100.00\$100.00 as principal. The account earns 9%9\% interest, compounded annually. What is the balance after 55 years?\newlineUse the formula A=P(1+rn)ntA = P(1 + \frac{r}{n})^{nt}, where AA is the balance (final amount), PP is the principal (starting amount), rr is the interest rate expressed as a decimal, nn is the number of times per year that the interest is compounded, and tt is the time in years.\newlineRound your answer to the nearest cent.
Get tutor helpright-arrow

Posted 4 months ago

Question
Use the following function rule to find f(1) f(1) .\newlinef(x)=12(7)x+8 f(x) = 12(7)^x + 8
Get tutor helpright-arrow

Posted 5 months ago

Question
The town of Valley View conducted a census this year, which showed that it has a population of 1,8001,800 people. Based on the census data, it is estimated that the population of Valley View will grow by 12%12\% each decade.\newlineWrite an exponential equation in the form y=a(b)xy = a(b)^x that can model the town population, yy, xx decades after this census was taken.\newlineUse whole numbers, decimals, or simplified fractions for the values of aa and bb.\newliney=y = ______
Get tutor helpright-arrow

Posted 8 months ago

Question
Solve for xx. \newline7=9x7 = 9^x\newlineRound your answer to the nearest thousandth.
Get tutor helpright-arrow

Posted 4 months ago

Question
Solve. Round your answer to the nearest thousandth.\newline7=ex7 = e^x\newlinex=x = ____
Get tutor helpright-arrow

Posted 7 months ago

Question
Solve. Simplify your answer.\newlinelog⁡u=1\log u = 1\newlineu=u = ____
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve. Simplify your answer.\newline7log⁡x=77\log x = 7\newlinex=x = ____
Get tutor helpright-arrow

Posted 7 months ago

Question
How does g(t)=3t g(t) = 3^t change over the interval from t=3 t = 3 to t=4 t = 4 ?\newlineChoices:\newline(A) g(t) g(t) decreases by 3 3 \newline(B) g(t) g(t) increases by 3 3 \newline(C) g(t) g(t) decreases by 3% 3\%\newline(D) g(t) g(t) increases by 200%200\%
Get tutor helpright-arrow

Posted 4 months ago

Question
A function f(x) f(x) increases by 6 6 over every unit interval in x x and f(0)=0 f(0) = 0 .\newlineWhich could be a function rule for f(x) f(x) ?\newlineChoices:\newline(A) f(x)=6xf(x) = 6x\newline(B) f(x)=6xf(x) = 6^x\newline(C) f(x)=16xf(x) = \frac{1}{6^x}\newline(D) f(x)=x6f(x) = \frac{x}{6}
Get tutor helpright-arrow

Posted 4 months ago

View all (33)

Related topics

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