Build Your Logarithms Skills with Engaging Lessons and Exercises

How to find the value of an unknown exponent?
E.g. I have the question:
$2^{4 x + 1} = 128$
I solved this by knowing that $128 = 2^{7}$ and therefore x must equal $1.5$ .
However, is there a way of solving this without knowing that $128 = 2^{7}$ ?

David Young 2021-12-30

Prove that:
$lim_{x \to 0} \frac{\ln (\cos x)}{\ln (1 - \frac{x^{2}}{2})} = 1$
without LHopitals rule.

Juan Hewlett 2021-12-30

Proving an inequality without an integral:
$\frac{1}{x + 1} \leq \ln (1 + x) - \ln (x) \leq \frac{1}{x}$

Oberlaudacu 2021-12-30

Evaluate the logarithm $\log_{5} 7$

David Troyer 2021-12-29

What is the difference between log and ln?
I was told that its

Alan Smith 2021-12-22

1. $\log (A B) = \log (A) + \log (B)$
2. $\frac{\log (A)}{\log (B)} = \log (A) - \log (B)$
3. $\ln (A) \ln (B) = \ln (A) + \ln (B)$
4. $\log (\sqrt{A}) = \frac{1}{2} \log (A)$
5. $p \times \ln (A) = \ln (A^{p})$
6. $\sqrt{\ln (A)} = \ln (A^{(\frac{1}{2})})$

feminizmiki 2021-12-17

How do you solve $\log (x) = - 0.123$

kerrum75 2021-12-16

How do you solve $2^{x} = 10$ ?

sunshine022uv 2021-12-14

How do you solve $\ln x + \ln (x - 1) = 1$ ?

Juan Hewlett 2021-12-13

What is the derivative of $\frac{1}{\log x}$ ?

Carla Murphy 2021-12-13

How do you solve $\ln x = 2 ?$

Marla Payton 2021-12-13

How do you solve $y = 2 \log (x)$

widdonod1t 2021-12-12

How do you simplify $e^{\ln x}$

Victor Wall 2021-12-12

Solve, please, ${(\frac{1}{2})}^{x} = 16^{2}$ .

Agohofidov6 2021-12-11

What is the derivative of $\ln (3 x)$ ?

Irvin Dukes 2021-12-10

How to solve ${\ln (x + 1)}^{2} = 2$ ?

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.