Question

Direction: Determine whether the given is a logarithmic function, logarithmic equation, logarithmic
inequality or neither of the three options. Write your answer on the blanks provided
1. f(x) = log 2x
2. log 2xy > log2xy
3. f(x) = log2x
4. Logs 2x > log2x
f(x) = logs
095
5.
6
y = log(abc)
7
7. log2x < -109.9x2
8.
logsabc = ablog2x
9
log.x = y
10.1/2 log5ab<log 2x​

Answer 1

Answer:

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Answer 2

In arithmetic, the logarithm is the reverse function to exponentiation. That implies the logarithm of a given number x is the exponent to which one more fixed number, the base b, should be raised, to create that number x.

• Logarithmic functions are the inverses of exponential functions. The reverse of the exponential function y = aˣ is x = a^y. The logarithmic function y = logₐ x is characterized to be comparable to the exponential condition x = a^y
• Any equation in the variable x that contains a logarithm is called a logarithmic equation.
• Logarithmic inequalities are inequalities in which one (or both) sides involve a logarithm.

The answers to the given question are:

1. f(x) = log 2x         logarithmic function

2. log 2xy > log XY         logarithmic inequality

3. f(x) = log2x         logarithmic function

4. log 2x > log x          logarithmic inequality

5. f(x) = log  95             logarithmic function

6 . y = log (abc)           logarithmic equation  

7. log 2x < -109.9 x 2             logarithmic inequality

8.  log abc = ab log 2x        logarithmic equation

9 . log x = y            logarithmic equation

10. 1/2 log 5ab < log 2x​           logarithmic inequality