SOLUTION: 2log square root of x+3logx^1/3; write the following in the form log_a(b), where a is a positive real number and b is an algebraic expression
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Question 330584: 2log square root of x+3logx^1/3; write the following in the form log_a(b), where a is a positive real number and b is an algebraic expression
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
\ +\ 3\log\left(x^{\frac{1}{3}}\right))
\ +\ 3\log\left(x^{\frac{1}{3}}\right))
Use
\ =\ n\log_b(x))
\ +\ 3\,\cdot\,\frac{1}{3}\,\cdot\,\log\left(x\right))
\ +\ \log\left(x\right))
Use the sum of the logs is the log of the product:
 + \log_b(y)\ =\ \log_b(xy))
\ +\ \log\left(x\right)\ =\ \log\left(x^2\right))
If the base is unspecified, the base is 10 by convention:
)
John
My calculator said it, I believe it, that settles it
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