Tutors Answer Your Questions about logarithm (FREE)
Question 166457: Hi,
I am trying to find a solution to the following equation: log 4x = log 8 + 1. My instructor told me to move it to be: log 4 x - log 8 = 1. He said then to use the properties to write the equation as a single log. The next step was to re-write into exponential form and solve. I have tried all the methods I have used in class (one to one method, etc.) but we have not done a problem exactly like this one. I have looked and looked and cannot find a problem like this and it is driving me crazy. If you could show me an example of a problem like this, it would be appreciated.
Thanks in advance!
Click here to see answer by Personal Trainer DC(4)  |
Question 166764: A population grows from 11000 to 15000 in five years. Assuming the growth is exponential, find the:
(a) Annual growth rate
(b) Continuous growth rate
Round your answers to 3 decimal places.
(a) The annual growth rate is X %.
(b) The continuous growth rate is X%. PLEASE!!!
Click here to see answer by josmiceli(9817)  |
Question 166778: A population grows from 11000 to 15000 in five years. Assuming the growth is exponential, find the:
(a) Annual growth rate
(b) Continuous growth rate
Round your answers to 3 decimal places.
(a) The annual growth rate is %.
(b) The continuous growth rate is %.
Click here to see answer by stanbon(57967) |
Question 167347: Please help.
Fill in the blank to make the statement true. To solve 7^x=30, we can take the logarithm of each side of the equation to get log(7^x)=log(30). The power rule for logarithms would then provide a way of moving the variable x from its position as an ___________to the postion of a coefficient.
log
function
negative value
base
none of these
exponents
Click here to see answer by stanbon(57967) |
Question 167685: Use the properties of to write the following as single logarithms
A) log100-1/3logy+1/2logz B)-3/2logu-logs+3logr+logt
use the properties of logarithmsto solve exactly the following equations
A) logx(27)=3 B) log(x+2)-log(x-1)=log(4)
Click here to see answer by stanbon(57967) |
Question 167773: Hello, the following question is from a past exam paper on algebra & complex numbers that I am looking at in order to revise for my Calculus exam. I have the answer in front of me, but I do not quite understand the working behind it, so if you could clear that up for me I would be grateful.
QUESTION SIX
Solve the following equation for x in terms of q: 2^(3x-1)=7^(x-q)
The assessment schedule says that the answer should be: x=(ln2-qln7)/(3ln2-ln7) or equivalent
Click here to see answer by jim_thompson5910(28715) |
Question 167773: Hello, the following question is from a past exam paper on algebra & complex numbers that I am looking at in order to revise for my Calculus exam. I have the answer in front of me, but I do not quite understand the working behind it, so if you could clear that up for me I would be grateful.
QUESTION SIX
Solve the following equation for x in terms of q: 2^(3x-1)=7^(x-q)
The assessment schedule says that the answer should be: x=(ln2-qln7)/(3ln2-ln7) or equivalent
Click here to see answer by rviksub(2) |
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