Respuesta :
Answer:
They are a and b.
Step-by-step explanation:
We have got logarithms to the base 10 here.
We know that log 10^3 = 3 log 10 ( by the law of logarithms).
Also log 10 = 1 ( by definition) so log 10^3 = 3 log 10 = 3.
The expressions equivalent ot he given expression is option A and B.
What is an Expression?
An expression is a mathematical statement which consists of variables, constants and mathematical operators.
A logaritm function is inverse of exponential function.
The logarithm of a given number x is the exponent to which another fixed number, the base a, must be raised, to produce that number x.
[tex]\rm log_ax = b\\a^b = x[/tex]
The expression is [tex]\rm log (10^3)[/tex]
Using the rule
[tex]\rm log b^a = a log b[/tex]
The expression [tex]\rm log (10^3)[/tex]can be written as
[tex]\rm 3 * log 10\\log 10 = 1\\ log(10^3) = 3[/tex]
The options are
a. 3
This is equivalent to log(10³)
b. 3•log10
This is equivalent to log(10³)
c. 1
This is not equivalent to log(10³)
d. 3•10
This is not equivalent to log(10³)
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