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Simplify log 6 - log 15 + 2 log 5 and log (5/8) - 2 log (5/9) + log 40
Mathematics
ScanSolve AI Answer
Step-by-step solution
13 steps1(a)
Start with the given equation.
Apply the power rule
.
Apply the product rule
.
Compute .
Compute .
If , then .
Final answer:
3752)
Start with the given expression.
Apply the power rule to the second term
.
Apply the quotient rule to the negative log
.
Apply the product rule for logs
.
Simplify the argument step-by-step.
First, .
Numerator:
Denominator:Now multiply by 44.
Check if simplifies (gcd of 10780 and 27 is 1).
Final answer:
\log \dfrac{10780}{27}
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