simplify log 64/243
Answers
Answer: 6log2 -5 log3
Step-by-step explanation:
log 64/243= log 64- log 243
= log 2^6- log 3^5
= 6log2 -5 log3
Answer:
we have simplified log 64/243 to 6 log 2 - 5 log 3.
Step-by-step explanation:
Logarithm (log) is a mathematical function that indicates the power to which a given number, called the base, must be raised to produce a specific value. In other words, it represents the exponent or power to which the base must be raised to produce the given value.
To simplify log 64/243, we can use the logarithmic rule that states:
log a/b = log a - log b
Using this rule, we can simplify log 64/243 as follows:
log 64/243 = log 64 - log 243
We can further simplify this by expressing 64 and 243 as powers of the same base. We can express 64 as 2^6 and 243 as 3^5. Therefore, we have:
log 64/243 = log 2^6 - log 3^5
Using another logarithmic rule that states:
log a^b = b log a
We can simplify this as:
log 64/243 = 6 log 2 - 5 log 3
Hence, we have simplified log 64/243 to 6 log 2 - 5 log 3.
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