Answer: 5^2
Step-by-step explanation:
Since the base are all the same, you will add the exponents and let the exponents stay the same.
5^3 * 5^4= 5^7 * 5^-5= 5^2
Answer:
one property of log is that if the log expressions have the same base (in this case, 2), then you can multiply the added logs.
The answer would then be D
Answer:
None of the expression are equivalent to 
Step-by-step explanation:
Given

Required
Find its equivalents
We start by expanding the given expression

Expand 49


Using laws of indices: 


This implies that; each of the following options A,B and C must be equivalent to
or alternatively, 
A. 
Using law of indices which states;

Applying this law to the numerator; we have

Expand expression in bracket


Also; Using law of indices which states;

becomes

This is not equivalent to 
B. 
Expand numerator


Using law of indices which states;

Applying this law to the numerator; we have


Also; Using law of indices which states;

= 
This is also not equivalent to 
C. 



Using law of indices which states;


This is also not equivalent to 
Answer:
Here,

substituting the value of 4y in eqn i fron eqn ii
so eqn i becomes

So

Thus,

...hope this helps:)