Simplify the following into a single logarithm: 4 log (6)-4 log (x)

Question

Accepted Answer

Step:1 ：Given the expression 4 log (6)-4 log (x)Step:2 ：Using the property of logarithms, a log (b) = log (b^a), the expression can be rewritten as log (6^4) - log (x^4)Step:3 ：Using another property of logarithms, log (a) - log (b) = log left(frac{a}{b}right), the expression can be further simplified to logleft(frac{6^4}{x^4}right)Step:4 ：So, the simplified form of the given expression is boxed{logleft(frac{6^4}{x^4}right)}

Answer

Step: 1 ：Given the expression 4 log (6)-4 log (x)Step: 2 ：Using the property of logarithms, a log (b) = log (b^a), the expression can be rewritten as log (6^4) - log (x^4)Step: 3 ：Using another property of logarithms, log (a) - log (b) = log left(frac{a}{b}right), the expression can be further simplified to logleft(frac{6^4}{x^4}right)Step: 4 ：So, the simplified form of the given expression is boxed{logleft(frac{6^4}{x^4}right)}

Simplify the following into a single logarithm: $4 \log (6) - 4 \log (x)$

Answer

Popular Problems

Simplify the following into a single logarithm: 4log⁡(6)−4log⁡(x)

Answer

Popular Problems

Simplify the following into a single logarithm: $4 \log (6) - 4 \log (x)$