math/algebra
posted by student .
find the domain of the function
1) f(x)= log2( 49x^2)
2) f(x)=In [1/x+5]

the domai of log(x) is x>0
So, we need
1) 49x^2 > 0
2) 1/x+5 > 0
Just solve those inequalities.
Respond to this Question
Similar Questions

Math  Graphing Logarithms function
Graph the function below. Determine the domain, range, and vertical asymptote. Please show all of your work. f(x) = log2(x4) 
college algebra
1.for the given function f&g, find the following and state the domain of each result. f(x)=2x+1/9x5; g(x) 4x/9x5 a.(f+g)(x)=? 
math
solve the equation log2(x+4)log4x=2 the 2 and 4 are lower than the g This is what I got: log2(x+4)+log2(4^x)=2 log2((x+4)*4^x)=2 4^x(x+4)=4 x=0 is a solution? 
algebra
2. The function f is defined as follows f(x)={4+2x if x<0 {x^2 if x>0 a) Find the domain of the function b) Locate any intercepts c) Graph function d) Based on graph find range e) Is f continuous on its domain? 
algebra/please can you ck my answers
Tell what the output value is for the function machine for the given values. log 16.9=1.23 log2^152=9 log2^1=0 log0.046=1.34 thank you 
Math
Hello! Could someone please take a look at the problem below and let me know if I made mistakes in simplifying the given equation? 
Math
I don't understand how log2 √(1/2) turned into log2 2^(1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A  logk B 3. logk (A^n) = n logk A where k is any positive … 
Math
I don't understand how log2 √(1/2) turned into log2 2^(1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A  logk B 3. logk (A^n) = n logk A where k is any positive … 
Math
I don't understand how log2 √(1/2) turned into log2 2^(1/2). Quote: You will have to know the 3 prime properties of logs 1. logk (AB) = logk A + logk B 2. logk(A/B) = logk A  logk B 3. logk (A^n) = n logk A where k is any positive … 
Urgent math
i need help with these two homework problems Use the Laws of Logarithms to combine the expression into a single logarithm log2 5 − 5 log2 x + 1/2 log2(x + 1) Solve the logarithmic equation for x log2(x + 2) + log2(x − 1) …