Log8-log4
log(8/4)
To solve the expression log8-log4, we need to simplify and evaluate it step by step.
Step 1: Simplify the expression using logarithmic properties.
log8-log4 = log(8/4)
Step 2: Simplify the inside of the logarithm.
8/4 = 2
Step 3: Rewrite the simplified expression.
log(2)
Therefore, log8-log4 simplifies to log(2).
To solve the expression log8 - log4, we can use one of the properties of logarithms, specifically the quotient rule.
The quotient rule states that the logarithm of a quotient of two numbers is equal to the logarithm of the numerator minus the logarithm of the denominator.
So, using the quotient rule, we can rewrite log8 - log4 as log(8/4).
Simplifying further, 8/4 equals 2.
Therefore, log(8/4) is the same as log2.
The answer to log8 - log4 is log2.