Express as a single logarithm
log(subscript)5(square root)175-log(subscript)5(square root)7
Please Help Me!
I did this one down below. Scroll down
175/7 = 25
25 = 5^2
2 log5(5)
= 2 answer
Look below for my reply to LISA for details. If you are Lisa, please read replies before posting again.
To express the given expression as a single logarithm, we can use the logarithmic properties, specifically:
1. Logarithm Subtraction Rule: The logarithm of the division of two quantities is equal to the logarithm of the numerator minus the logarithm of the denominator.
Using this property, we can rewrite the given expression as follows:
log(subscript)5(square root)175 - log(subscript)5(square root)7
= log(subscript)5(square root)(175/7)
= log(subscript)5(square root)25
Now, let's simplify further:
Since the square root of 25 is 5, we can express it as:
= log(subscript)5(5)
= 1
Therefore, the expression can be simplified to 1.