Question
Asked Nov 26, 2019
9 views

Suppose we have the logarithmic function f(x)= 3log2(x+5)-1.

a.) Simplify: 7/f(27)

b.) What's the domain of f?

c.) Solve the following equation: f(2x)= -4 

check_circle

Expert Answer

Step 1
The given function is, f(x)= 3log,2(x+5)-1
. find the value of f(27)
f(27)
To find the value of
f(27) 3log2(27+5) -1
=31og2(32-
=3log, 25-
5(3)log, 2-1
= 15-1
14
help_outline

Image Transcriptionclose

The given function is, f(x)= 3log,2(x+5)-1 . find the value of f(27) f(27) To find the value of f(27) 3log2(27+5) -1 =31og2(32- =3log, 25- 5(3)log, 2-1 = 15-1 14

fullscreen
Step 2
Log function is defined only on positive values.
Thus, the expression x+5 should be positive
Then, the value ofx must be greater than -5
Therefore, the domain of f(x) 31log , ( x+5)-1 is x>-5 or (-5,0)
help_outline

Image Transcriptionclose

Log function is defined only on positive values. Thus, the expression x+5 should be positive Then, the value ofx must be greater than -5 Therefore, the domain of f(x) 31log , ( x+5)-1 is x>-5 or (-5,0)

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Algebra

Logarithms