Expand the logarithm expression (log_{2}(16x^3))

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Accepted Answer

Step:1 ：Applying the properties of logarithms, we can break the logarithm apart into the sum of two separate logs: (log_{2}(16x^3) = log_{2}(16) + log_{2}(x^3))Step:2 ：Now simplify (log_{2}(16)) to 4 because 2 raised to the power of 4 equals 16: (log_{2}(16x^3) = 4 + log_{2}(x^3))Step:3 ：Next, apply the power rule of logarithms to bring down the exponent in (log_{2}(x^3)): (log_{2}(16x^3) = 4 + 3log_{2}(x))

Answer

Step: 1 ：Applying the properties of logarithms, we can break the logarithm apart into the sum of two separate logs: (log_{2}(16x^3) = log_{2}(16) + log_{2}(x^3))Step: 2 ：Now simplify (log_{2}(16)) to 4 because 2 raised to the power of 4 equals 16: (log_{2}(16x^3) = 4 + log_{2}(x^3))Step: 3 ：Next, apply the power rule of logarithms to bring down the exponent in (log_{2}(x^3)): (log_{2}(16x^3) = 4 + 3log_{2}(x))

Expand the logarithm expression $\log_{2} (16 x^{3})$

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Popular Problems

Expand the logarithm expression log2⁡(16x3)

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Popular Problems

Expand the logarithm expression $\log_{2} (16 x^{3})$