Write the logarithmic expression as a single logarithm: 2 log,q + 3 log,y A (2+3) log,(q +y) B log,(q²y³) C bg,(q +3) D log,(qy**) a) b) c) d)

Q: D log (xag) + log (xl)

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Q: Simplify:

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Q: express as one logarithm with a coefficient of 1:3log a/x+log b/y -2log c/z

A: Solution is given below:

Q: (a) log, 8 - log, 5 log, (b) log, 3 + log₂= log₂ 21 (c) - 4log, 3 = log,

A: (a) log38-log35=log3_ (b) log23+log2_=log221 (c) -4log93=log9_ We have to fill in the missing…

Q: Write the logarithmic expression as a single logarithm: 2log, q + 3log, y F (2+3)log.(q+y) G…

A: Use the basic log properties which I mentioned the right side of the solution page..

Q: Write an expression equal to - log, (c) · log (b) |using exactly one log. (hint: the base of the log…

A: Concept: Here we shall use the formula for change of base. logab=logcblogca Using the identity we…

Q: .Express in index notation: a) loga 8 = c ii. Simplify: 3log3 - log 27

A: I.Express in index notation:  a) loga 8 = cAnswerlogam=n ⇒ m=anThereforeloga8 = c ⇒8=ac

Q: Express (logm - 3logn + 4log (5√ p) - 2logp) as a single logarithm.

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Q: Use the laws of logarithms to combine the expression: 2 (log, x + 2 log, y – 3 log, z)

A: To use the laws of logarithms to combine the expression

Q: Evaluate the complex logarithm: In(i² + i*) O In v2 + i O In v2 - i O In v2 - *i O In v2+ *i

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Q: Interpret the  coefficients of any 2 variables with their individual significance, all variables are…

A: Given, the result of a regression analysis where the variables are in log form. The interpretation…

Q: Write the expressions 2 (log, x +4 log; y-2 log; z) as a single logarithmic form b) log; a) log; c)…

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