logarithm

  1. M

    Logarithm problem

    How can I solve this problem? Please help.
  2. E

    Some limits manipulation.

    Could someone explain the steps involved in this limit? I'm reading a proof and kinda stuck here. For k \in \mathbb{Z}^+ and c a positive constant, set \beta_k = c \sqrt{\frac{k}{\ln(k)}} and \delta_k = \frac{\ln(\frac{k}{\beta_k})}{k}. Then \lim\limits_{k \to \infty} (\beta_k(1-\delta_k)^k +...
  3. H

    logarithms pls help

  4. tahirimanov19

    Logarithm, Gamma and Brain Failures

    Can someone explain the difference between $$\ln\Gamma(z)$$ and $$\ln(\Gamma(z))$$ Here is WolframAlpha link : https://www.wolframalpha.com/input/?i=integrate+ln%28Gamma%28z%29%29
  5. S

    pH logarithm

    Hello I am quite confused about a question I have got on a test. I was wondering if I can get some help since I have looked online and it doesn’t seem to fit with my question which confuses me. In my lesson it states that a value of 2(log10 100) is ten times greater than a value of 1(log10...
  6. A

    Logarithm binary numbers

    Hello everyone, I am currently learning about binary numbers and I have stumbled on this problem: "write a function (log n) that calculates the logarithm (base 2) of number n. Number n is a positive binary number". (only using binary arithmetic operations) I know this is a very basic question...
  7. A

    Proof for natural logarithm limit without differentiation

    I have another limit where I'm struggling with the solving.Can somone help me? https://ibb.co/5Kq58jR I used a method like this but I'm not 100% if it's correct! https://ibb.co/JQrpdL1 What should I do from that step? I know something like arctan(x)/x when x tends to 0 is 1. How is that...
  8. A

    Prove the limit of natural logarithm without differentiation or Taylor series

    Can someone help me to prove that this limit is equal to 1 without using differentiation or Taylor Series?(like in the limit of sinx/x when x tends to 0)What are the steps? https://imgur.com/a/WslKnLI
  9. S

    Logarithm help please!

    No clue on where to start.
  10. N

    logarithm

    Hi All, Please see attached pic. Gradient? Value of A at intercept? Thanks for your help.
  11. H

    Logarithm

    Given log2=0.69, log3=1.10 and log7=1.90, all to a fixed base, find log10.5 without using table.
  12. R

    How to find logarithm of a number having negative characteristic.

    Hi, can anybody help me find logarithm of a number having negative characteristic? For example, log(0.00462). Any help would be highly appreciated. Thanks.
  13. B

    Inequality with an abs. value, exponent and logarithm

    This given problem is $x^\left|\log_xa\right|\leq\frac{1}{a}$ with the following solution sets: $x\in(0,1)\cup(1,+\infty),\ a\in(0,1]\\ x\in(0,1),\ a\in(1,+\infty)$ This is how I've approached it: $\left|\log_xa\right|=\left\{\begin{aligned}\log_x&a\left\{\begin{aligned}x>1\ &\land\ a\geq...
  14. M

    Logarithm

    Hi, I don't understand how 0.1 x become 10 here: log2 (50/3) = 0.1x = 10 X log2 (50/3) Here they don't do that https://www.wolframalpha.com/input/?i=log2+(50%2F3)+%3D+0.1x Thank in advance.
  15. B

    Logarithm Calculations Help

    I'm a university student and still can't do calculations with logarithms :( i'm trying to calculate this: log8(4) <=> 8^x = 4 but i can't find x!!! I mean how can u multiply 8, x times with itself and find 4!!! This is insane!!! This made me think something that i never thought about all...
  16. D

    Logarithm syntax what does ^3log(27) mean?

    From my exercise book the book wants me to calculate \displaystyle ^3\log 27, but I don't know what this syntax means? Is it the same as \displaystyle \log_3 27?
  17. S

    logarithm

    Is logarithm a arithmetic operation?
  18. A

    Which Forum ?

    Greetings to all - This is my first time here. I registered because I have a question about how to enter a logarithm, raised to a power of -1, on my brand new TI-84 Plus calculator. Any suggestions for the appropriate forum? Many Thanks !:o
  19. M

    Two ways to integrate

    Integrate with respect to x: _____14_____ + 7 exp^(14x/5)-1 I got (through intg by substitution multiple times): 7x + 5log(modulus( 1 - exp^(-14x/5) )) but because I need the definite integral over (0, b), subbing in 0 gives an undefined integral On integral-calculator and...
  20. A

    Logarithm function

    Hi, If*log10(b)=1.8*and*loga(b)=2.5752, what is*a? How does the change of base rule apply here when there are two unknowns a & B ? Thanks, amphi