Thread: logarithm assistance

I'm working on some problems and I have hit a stumbling block. Everything I try comes up with the wrong answer. Hopefully someone can help and with the right answer I can work it backwards to understand.

Thank you!


Rewrite the logarithm as an exponential equation. (Use capital letters for variables P and U.) P = log_b U

Rewrite the logarithm as an exponential equation. (Use capital letters for variables L, P and R.) L = log_b(P + R)

Rewrite the exponential equation as a logarithm. (Use capital letters for variables F and G.) b^{F + 1} = G

Rewrite the exponential equation as a logarithm. (Use capital letters for Q, F, S, and P.) b^QF = S − P

An October 2009 article in The Industry Standard states that "independent Twitter data shows exponential tweet growth." GigaTweet, an independent tweet-counting service, reports that the number of tweets was 5.0 billion in October 2009. In April 2009, the number of tweets was 1.6 billion. (a) Develop the exponential growth model that fits with these data, where t is the number of months after April 2009 and p is the number of tweets in billions. (Round the coefficient of t to seven decimal places.)
p(t) =

$\displaystyle y = \log_b{x} \iff x = b^y$

Originally Posted by spokaneskibum

I'm working on some problems and I have hit a stumbling block. Everything I try comes up with the wrong answer. Hopefully someone can help and with the right answer I can work it backwards to understand.

Thank you!

Don't just say, "Everything I try comes up with the wrong answer". Show us what you tried and we will be better able to point out your misunderstandings.

Rewrite the logarithm as an exponential equation. (Use capital letters for variables P and U.) P = log_b U

Rewrite the logarithm as an exponential equation. (Use capital letters for variables L, P and R.) L = log_b(P + R)

Rewrite the exponential equation as a logarithm. (Use capital letters for variables F and G.) b^{F + 1} = G

Rewrite the exponential equation as a logarithm. (Use capital letters for Q, F, S, and P.) b^QF = S − P

An October 2009 article in The Industry Standard states that "independent Twitter data shows exponential tweet growth." GigaTweet, an independent tweet-counting service, reports that the number of tweets was 5.0 billion in October 2009. In April 2009, the number of tweets was 1.6 billion. (a) Develop the exponential growth model that fits with these data, where t is the number of months after April 2009 and p is the number of tweets in billions. (Round the coefficient of t to seven decimal places.)
p(t) =

Rewrite the logarithm as an exponential equation. (Use capital letters for variables L, P and R.) L = logb(P + R)
I put " P+R = L ^B"

Originally Posted by spokaneskibum

Rewrite the logarithm as an exponential equation. (Use capital letters for variables L, P and R.) L = logb(P + R)
I put " P+R = L ^B"

b is the base of the log ... and the base of the exponential

$\displaystyle P+R = b^L$