## Logarithms Resources Logarithm A level question

Express in the form lg n a, 1 + lg 11 b, lg 1/50 + 2 Can someone please explain to me how to work this out? I'm not sure what lg means. Thank you. evaluate the following in terms of x and y

If log p=x and log q=y, evaluate the following in terms of x and y: #1)  (log p^-4)/(loq q^-5) = ? #2) (log p^5)^−3 = ? log(x.x+4)=2+logx- log20

Logarithms Question about rewriting to log form

K(t) = 50 · 0.65t   This formula can be rewritten in a form t = A log (K) + B   Do this to find the values for A and B   Could someone please... Exponential function

K(t) = 50 · 0.65t   with t the time in hours.   For this formula calculate the growth factor per 15 minutes.   And, the forumila K(t) can be rewritten in... Transforming exponential functions to logarithmic

D(t) = 82.5 · 0.9982t with D the number of inhabitants in millions and t the time in years. t= 0 = the year 2008   The above mentioned equation describing the exponential growth...

Please Use properties of logarithms to expand the expression. log(z^3/sq. rt. x^5y) Each logarithm should involve only one variable and should not have any radicals or exponents. You may assume... Help with logarithms

An economist has found the following function for the number of mobile phones (in millions) sold worldwide since the year 2014: V(t) = 1244.74 · 1.1439t t= time in years. t=0 is... More logarithms

Given log54=a and log34=b, express log21.8 in terms of a and b... So how do you get two different bases from only log21.8.. are you supposed to like separate them to log29 - log25 ? FInd the 1000th derivative of Ln(x+1)

I am struggling as i know the sequence but got no idea how to describe it mathematically! How does the base of a logarithm affect a graph?

I know what changing the base of a logarithm does graphically, but I'm having trouble trying to explain it mathematically

ln (x - 3) - ln (x + 8) = ln (x - 6) - ln (x + 8)

log 3 (x + 6) + log 3 (x - 6) - log 3 x = 2

QUESTION IS: 1/5 [5ln (x + 9) - ln x - ln (x^2 - 9)]