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Rewrite the following in the form 
log(c).

3log(5)

Rewrite the following in the form log(c) \log (c) .\newline3log(5) 3 \log (5)

Full solution

Q. Rewrite the following in the form log(c) \log (c) .\newline3log(5) 3 \log (5)
  1. Identify Property: Identify the property of logarithms to simplify 3log(5)3\log(5). The power property of logarithms states that the logarithm of a number raised to a power is equal to the power multiplied by the logarithm of the number. 3log(5)3\log(5) can be rewritten using the power property as log(53)\log(5^3).
  2. Apply Power Property: Calculate the value of 535^3. 535^3 means 55 multiplied by itself 33 times. 5×5×5=1255 \times 5 \times 5 = 125. So, log(53)\log(5^3) is equivalent to log(125)\log(125).
  3. Calculate Value: Write the final answer.\newlineThe expression 3log(5)3\log(5) has been rewritten as log(125)\log(125).

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