Build Your Logarithms Skills with Engaging Lessons and Exercises

What's the correct notation for $\log$ squared:
$\log^{2} (n)$ or ${[\log (n)]}^{2}$ ?

philosphy111of 2021-12-05

Write $\log (x) = y$ in exponential form.

klytamnestra9a 2021-11-22

Use the properties of logarithms to expand the expression as a sum, difference, and/or multiple of logarithms. (Assume the variable is positive.)
$\ln (\frac{x}{\sqrt{x^{2} + 1}})$

ahgan3j 2021-11-22

I need to calculate the rank of the matrix A, shown below:
$[\begin{matrix} 3 & 2 & - 1 \\ 2 & - 3 & - 5 \\ - 1 & - 4 & - 3 \end{matrix}]$

Redemitz4s 2021-11-21

Calculate the ratio of NaF to HF required to create a buffer with $p H = 4.00$

tugmiddelc0 2021-11-21

Find the exact solution of the exponential equation in terms of logarithms.
Use a calculator to find an approximation to the solution rounded to six decimal places.
I keep getting a negative log answer and decimal...i dont

Eichowa4 2021-11-21

Use the properties of the natural logarithms to simplify the following expressions:
$a) \ln \sin θ - \ln \frac{\sin θ}{5}$

korporasidn 2021-11-20

Please, solve this for me:
$\ln (- 1) = i π$ ;
and $\ln (- x) = \ln x + i π$ for $x > 0$ and $x \in R$

Jason Watson 2021-11-19

I have a Boolean expression. well

Agaiepsh 2021-11-19

Consider the integral:
$\int_{0}^{1} \frac{\sin (π x)}{1 - x} d x$
I want to do this via power series and obtain an exact solution.
In power series, I have
$\int_{0}^{1} (\sum_{{n = 0}}^{\infty} {(- 1)}^{n} \frac{{(π x)}^{2 n + 1}}{(2 n + 1)!} \cdot \sum_{{n = 0}}^{\infty}) d x$
My question is: how do I multiply these summations together? I have searched online, however, in all cases I found they simply truncated the series and found an approximation.

cleritere39 2021-11-17

Write the expression as a logarithm of a single quantity.
$2 [\ln x - \ln (x + 1) - \ln (x - 1)]$

enfurezca3x 2021-11-16

$Use the properties of logarithms, given that \ln (2) - 0.6931 and \ln (3) - 1.0986, to approximate the logarithm. Use a calculator to confirm your approximations.$
$(a) \ln (0.75) =$
$(b) \ln (54) =$
$(c) \ln (\sqrt{3} 12) =$
$(d) \ln (\frac{1}{72}) =$

peromvu 2021-11-14

Use the properties of logarithms to write expression as a sum, difference, or product of simpler logarithms.
$\log_{5} (2 k)$

Paganellash 2021-11-14

Write the expression as a single logarithm.
$\log_{3} 40 - \log_{3} 10$

tornesasln 2021-11-14

Differentiate the function. $y = \ln (e^{- x} + x e^{- x})$

trainart1 2021-11-13

Rewrite the expression as a single logarithm and simplify the result.
$\ln | \sin x | + \ln | \cot x |$

Michael Dennis 2021-11-11

$Condense the following expression into a single logarithm using the properties of logarithms. Assume x>0 and x \neq 6$
$\log_{5} (x^{2} - 8 x + 12) - 2 \log_{5} (x - 6)$

arneguet9k 2021-11-11

Write the expression as a sum, difference, or product of logarithms. Assume that all variables represent positive real numbers:
$\log_{b} (\frac{m^{5} p^{9}}{n^{3} b^{7}})$

nuais6lfp 2021-11-11

Review
1) $5^{x - 7} = 3^{2 x + 1}$
2) $11 e^{- 4 x} = 21$

chillywilly12a 2021-11-10

Solve for xx.
$\log_{2} (x) + \log_{2} (x - 12) = 6$

Finding logarithms questions and answers online is always pure luck, especially if these are provided with detailed answers to questions. This is exactly what you can find below regardless of your practical application, college course, or complexity. These logarithms questions are related to higher education courses, which is why they will help you find the answers to what you currently have. When you deal with logarithmic equations you are approaching an exponential equation where the variable appears in an exponent as it’s in (log b (bx) = x. It also shows that the logarithmic graph equation can be represented as well.

Algebra II

Learn How to Graph Logarithmic Equations