The given expression is
Here we have to use the product rule of exponent, according to which in case of multiplication, we have to add the exponents, that is
So out of the given options, correct option is A .
Is ABC-DEC? Explain
2 answers:
You might be interested in
Answer: The log simplifies to -2
-------------------------------------------
-------------------------------------------
Explanation:
We will use the log rule that log(x^y) = y*log(x). Call this log rule 1. This log rule basically allows us to pull the exponent down.
Another log rule that we will use is
where x is any positive real number but x = 1 is NOT allowed. Call this log rule 2.
Because 36 = 6^2, this means that 1/36 = 6^(-2)
-------------
So,
Use log rule 1 (see above)
Use log rule 2 (see above)
This means that the given expression simplifies to -2
You can use a calculator to type in "log(1/36)/log(6)" without quotes and you should get -2 as the answer
-------------------------------------------
-------------------------------------------
Explanation:
We will use the log rule that log(x^y) = y*log(x). Call this log rule 1. This log rule basically allows us to pull the exponent down.
Another log rule that we will use is
Because 36 = 6^2, this means that 1/36 = 6^(-2)
-------------
So,
This means that the given expression simplifies to -2
You can use a calculator to type in "log(1/36)/log(6)" without quotes and you should get -2 as the answer